Limit questions
411 published questions with worked solutions.
- The value of _ x 3 [x] - 3 x - 3 , where [.] denotes the greater integer function is ....
- If = _ x 0 x |x|+x^2 , then the value of is
- _ x 0 x 2x-2x x (1- 2x)^ 2 is
- _ x 2 ( 5^ x +5^ 3-x -30 5^ 3-x -5^ x 2 )=
- If _ x 1 x^2-ax+b (x-1) =5, then (a+b) is equal to
- _ x 0 7x^ - 2x^ x^2 is
- The value of _ n (n+2)!+(n+1)! (n+2)!-(n+1)! is _____
- _ x 0 [ (2+x)- (2-x) x ]= _____
- _ x 0 1+x x - x ^2 x 2
- If f(x)=3x^ 10 -7x^8+5x^6-21x^3+3x^2-7, then _ 0 f(1- )-f(1) ^3+3 is
- Let f(x) = 5 - |x - 2| and g(x) = |x + 1|, x IR. If f(x) attains maximum value at and g(x) attains minimum value at , then _ x -...
- _ x x^3 x^2+ 1+x^4 -x 2 =
- If _ x (2x-1)^ 19 ,(3x+2)^ 11 (6x-5)^ 30 =2^a 3^b, then a + b =
- If _ x 0 (4^x-1)^3 ( x4 ) (1+ x^2 3 ) =96( a)^b, then (a+b)=
- _ x 2 (1- ( x2 ) )(1- x) (1+ ( x2 ) )( -2x)^ 3 is
- If _ x 0 45^x-9^x-5^x+1 (k^x-1)(3^x-1) =2, then the value of k is ..
- _ x 0 (5^x-1)^4 (x 5) (x 5) (1+x^2 25) =
- _ y 0 1 + 1 + y^4 - 2 y^4 =
- The value of _ x 0 (( x)^ 1x + ( 1x )^ x ), where x > 0 is
- If f(x) = ^ -1 ( 3x - x^3 1 - 3x^2 ) and g(x) = ^ -1 ( 1 - x^2 1 + x^2 ), then _ x a f(x) - f(a) g(x) - g(a) , (0 < a < 1 2 ) is
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