Limit questions
411 published questions with worked solutions.
- If f(x) = (5^x - 1)^3 (2^x - 1)( 4x) (1 + x) , for x 0 = a, for x = 0, then a =
- If f(x) = (2^x - 1)^2 x (1 + x) , for x 0, then f has a removable discontinuity at x = 0 which is removed by defining f(0) equal...
- If f(x) = cases (1 + 2x)^ 1/x , & for x 0 k, & for x = 0 cases , then
- If f(x) = _ n ( x)^ 2n , then f(x) is:
- Let f(x) = (1 + x + x^2) + (1 - x + x^2) x - x Then the value of f(0) so that f is continuous at x = 0 is
- If f(x) is continuous in [0, 1] and f ( 1 2 ) = 2, then _ n f ( n 2 n + 1 ) is equal to
- If f(x) is continuous and f ( 9 2 ) = 2 9 , then _ x 0 f ( 1 - 3x x^2 ) is equal to
- If f(x) = cases (1 + 2x)^ 1/x , & for x 0 e^2, & for x = 0 cases , then
- _ x 2 1 - ( x 2 ) (1 - x) 1 + ( x 2 ) ( - 2x)^3 is equal to
- What is _ x 0 e^x-(1+x) x^2 equal to?
- Consider the following statements : 1. If _ x a f(x) and _ x a g(x) both exist, then _ x a f(x)g(x) exists. 2. If _ x a f(x)g(x)...
- If _ x 2 x x =l and _ x x x =m, then which one of the following is correct?
- What is _ x 0 x 2x equal to?
- What is _ h 0 2x+3h - 2x 2h equal to?
- What is _ 0 1- equal to?
- What is _ x 6 2 ^2x+ x-1 2 ^2x-3 x+1 equal to?
- What is the value of _ x 0 x^ 3x^ ?
- What is _ x 1 x+x^2+x^3-3 x-1 equal to?
- If _ x 1 x^4-1 x-1 = _ x k x^3-k^3 x^2-k^2 , where k 0, then what is the value of k?
- What is _ x 0 x (1-x) x^2 equal to?
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