Description : Evaluate: `lim_(x rarr 2) [(2x^(2)-9x+10)/(5x^(2)-5x-10)]`.
Last Answer : Evaluate: `lim_(x rarr 2) [(2x^(2)-9x+10)/(5x^(2)-5x-10)]`.
Description : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.
Last Answer : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.
Description : Evaluate: `lim_(n rarr oo) (n(1+4+9+16+......+n^(2)))/(n^(4)+8n^(3))`.
Last Answer : Evaluate: `lim_(n rarr oo) (n(1+4+9+16+......+n^(2)))/(n^(4)+8n^(3))`.
Description : Evaluate: `lim_(x rarr oo) [(x^(2)+x+6)/(x+1)]`.
Last Answer : Evaluate: `lim_(x rarr oo) [(x^(2)+x+6)/(x+1)]`.
Description : Evaluate: `lim_(x rarr oo) (11|x|+7)/(8|x|-9)`.
Last Answer : Evaluate: `lim_(x rarr oo) (11|x|+7)/(8|x|-9)`.
Description : Evaluate: `lim_(n rarr oo) (n^(2)(1+2+3+4+......+n))/(n^(4)+4n^(2))`.
Last Answer : Evaluate: `lim_(n rarr oo) (n^(2)(1+2+3+4+......+n))/(n^(4)+4n^(2))`.
Description : Evaluate: `lim_(n rarr oo) (sum_(r=0)^( n) (1)/(2^(r)))`.
Last Answer : Evaluate: `lim_(n rarr oo) (sum_(r=0)^( n) (1)/(2^(r)))`.
Description : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.
Last Answer : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.
Description : Evaluate: `lim_(x rarr 1) [(x^(2)+3x+2)/(x^(2)-5x+3)]`.
Last Answer : Evaluate: `lim_(x rarr 1) [(x^(2)+3x+2)/(x^(2)-5x+3)]`.
Description : `lim_(x rarr 3) (log(2x-3)-log(3x + 2))/(log(2x +1))=`_______.
Last Answer : `lim_(x rarr 3) (log(2x-3)-log(3x + 2))/(log(2x +1))=`_______.
Description : Evaluate: `lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)]`.
Last Answer : Evaluate: `lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)]`.
Description : Evaluate `lim_(x rarr 2) (2x-2)`.
Last Answer : Evaluate `lim_(x rarr 2) (2x-2)`.
Description : `lim_(x rarr oo) (x^(n)+a^(n))/(x^(n)-a^(n))=`________.
Last Answer : `lim_(x rarr oo) (x^(n)+a^(n))/(x^(n)-a^(n))=`________.
Description : `lim_(x rarr oo) (7x-3)/(8x-10)=`_______.
Last Answer : `lim_(x rarr oo) (7x-3)/(8x-10)=`_______.
Description : `lim_(n rarr oo) (1+3+5+7+...."n terms")/(2+4+6+8+...."n terms")=`_____.
Last Answer : `lim_(n rarr oo) (1+3+5+7+...."n terms")/(2+4+6+8+...."n terms")=`_____.
Description : `lim_(n rarr oo) (n(n+1))/(n^(2))=`________.
Last Answer : `lim_(n rarr oo) (n(n+1))/(n^(2))=`________.
Description : Find the values of x for which the following functions are maximum or minimum: (i) ` x^(3)- 3x^(2) - 9x ` (ii) ` 4x^(3)-15x^(2)+12x+1` (iii) ` 1-x-x^(
Last Answer : Find the values of x for which the following functions are maximum or minimum: (i) ` x^(3)- 3x^(2) - 9x ` (ii) ` 4x ... (v) `(x^(2)-x+1)/(x^(2)+x+1)`
Description : Evaluate: `lim_(x rarr 0) (sqrt(5+x)-sqrt(5-x))/(sqrt(10+x)-sqrt(10-x))`.
Last Answer : Evaluate: `lim_(x rarr 0) (sqrt(5+x)-sqrt(5-x))/(sqrt(10+x)-sqrt(10-x))`.
Description : Evaluate: `lim_(x rarr 5) sqrt(25-x^(2))`.
Last Answer : Evaluate: `lim_(x rarr 5) sqrt(25-x^(2))`.
Description : Evaluate: `lim_(x rarr 3)(x^(5)-243)/(x-3)`.
Last Answer : Evaluate: `lim_(x rarr 3)(x^(5)-243)/(x-3)`.
Description : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.
Last Answer : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.
Description : Evaluate: `lim_(x rarr 2) (x-2)/(sqrt(x+2)-2)`.
Last Answer : Evaluate: `lim_(x rarr 2) (x-2)/(sqrt(x+2)-2)`.
Description : Evaluate: `lim_(x rarr a) (x^(14)-a^(14))/(x^(-7)-a^(-7))`.
Last Answer : Evaluate: `lim_(x rarr a) (x^(14)-a^(14))/(x^(-7)-a^(-7))`.
Description : Evaluate: `lim_(x rarr -2) (x^(7)+128)/(x+2)`.
Last Answer : Evaluate: `lim_(x rarr -2) (x^(7)+128)/(x+2)`.
Description : Evaluate: `lim_(x rarr a) (x^(1//4)-a^(1//4))/(x^(4)-a^(4))`.
Last Answer : Evaluate: `lim_(x rarr a) (x^(1//4)-a^(1//4))/(x^(4)-a^(4))`.
Description : Evaluate: `lim_(x rarr 3) [(x^(3)-27)/(x-3)]`.
Last Answer : Evaluate: `lim_(x rarr 3) [(x^(3)-27)/(x-3)]`.
Description : Evaluate: `lim_(x rarr a) [(x^(n)-a^(n))/(x^(m)-a^(m))]`.
Last Answer : Evaluate: `lim_(x rarr a) [(x^(n)-a^(n))/(x^(m)-a^(m))]`.
Description : Evaluate: `lim_(x rarr 3) (|x-3|)/(x-3)`.
Last Answer : Evaluate: `lim_(x rarr 3) (|x-3|)/(x-3)`.
Description : What is the value of `lim_(x rarr 1) (x^(3)+1)(x^(2)-2x+4)`?
Last Answer : What is the value of `lim_(x rarr 1) (x^(3)+1)(x^(2)-2x+4)`?
Description : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is
Last Answer : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is A. `cos (1/3 ... /3+1/3 cos^(-1) x)` D. `sin (1/3 sin^(-1) x)`
Description : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`
Last Answer : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`
Description : A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0
Last Answer : (d) x – 4y – 14 = 0 ;5x – y – 13 = 0
Description : If `0
Last Answer : If `0
Description : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Last Answer : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Description : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : `int(4x-3)/(3x^2+2x-5)dx`
Last Answer : `int(4x-3)/(3x^2+2x-5)dx`
Description : Evaluate `int e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x dx`.
Description : For what value of k, will the expression (3x^3 – kx^2 + 4x + 16) be divisible by (x – k/2) ? -Maths 9th
Last Answer : Given f(x) = 3x³ - kx² + 4x + 16. Since (x - k/2) is a factor of polynomial. This means x = k/2 is the zero of the given polynomial. ⇒ f(k/2) = 3(k/2)³ - k(k/2)² + 4(k/2) + 16 ⇒ 0 ... - 4k + 32) + 4(k² - 4k + 32) ⇒ 0 = (k + 4)(k² - 4k + 32) ⇒ k = -4.
Description : `lim_(x rarr 5) (sqrt(x)-sqrt(5))/(x-5)=`_______.
Last Answer : `lim_(x rarr 5) (sqrt(x)-sqrt(5))/(x-5)=`_______.
Description : `lim_(x rarr 1) (root(5)(x)-1)/(root(4)(x)-1)=`_______.
Last Answer : `lim_(x rarr 1) (root(5)(x)-1)/(root(4)(x)-1)=`_______.
Description : Find the remainder when f(x)=9x(cube) -x 3x(square) + 14x - 3 is divided by g(x)=(3x-1). -Maths 9th
Last Answer : Solution :-
Description : Evaluate x if log3 (3 + x) + log3 (8 – x) – log3 (9x – 8) = 2 – log39 -Maths 9th
Last Answer : (c) 4log3 (3 + x) + log3 (8 - x) - log3 (9x - 8) = 2 - log39 ⇒ log3 (3 + x) + log3 (8 - x) - log3 (9x - 8) + log39 = 2⇒ log3 \(\bigg[rac{(3+x)(8-x)(9)}{(9x-8)}\bigg]=2\)⇒ \(rac{9(24+8x-3x-x^2)}{(9x- ... = 9x - 8 ⇒ x2 + 4x - 32 = 0 ⇒ (x + 8) (x - 4) = 0 ⇒ x = - 8, 4. Taking the positive value x = 4.
Description : `lim_(x rarr 4^(-)) (|x-4|)/(x-4)=` ________.
Last Answer : `lim_(x rarr 4^(-)) (|x-4|)/(x-4)=` ________.
Description : If `lim_(x rarr -3) (x^(k)+3^(k))/(x+3)=405`, where k is an odd natural number then, k = ________.
Last Answer : If `lim_(x rarr -3) (x^(k)+3^(k))/(x+3)=405`, where k is an odd natural number then, k = ________.
Description : `lim_(x rarr 3)sqrt(9-x^(2))=`_______.
Last Answer : `lim_(x rarr 3)sqrt(9-x^(2))=`_______.
Description : `lim_(x rarr 0^(-))(|x|)/(x)=`_______.
Last Answer : `lim_(x rarr 0^(-))(|x|)/(x)=`_______.
Description : In finding `lim_(x rarr a) f(x)`, we replace x by `(1)/(n)`, then the limit becomes _____.
Last Answer : In finding `lim_(x rarr a) f(x)`, we replace x by `(1)/(n)`, then the limit becomes _____.
Description : `lim_(x rarr -a) (x^(n)+a^(n))/(x+a)` (where n is an odd natural number)
Last Answer : `lim_(x rarr -a) (x^(n)+a^(n))/(x+a)` (where n is an odd natural number)
Description : `lim_(x rarr 0) (x^(2)+8x)/(x)=`_________.
Last Answer : `lim_(x rarr 0) (x^(2)+8x)/(x)=`_________.