Limit questions
411 published questions with worked solutions.
- _ x 1 _ r=1 ^ n x^ r -n x-1 is equal to
- _ x 0 x- x x x is equal to
- _ x 0 x- x x+ ^ 2 x is equal to
- _ x 0 _e x x^ 2 is equal to
- _ x 0 ^ -1 x- ^ -1 x x^ 2 is equal to
- If f(4)=4, f'(4)=1 then _ x 4 2- f(x) 2- x is equal to
- The graph of the function y=f(x) has a unique tangent at the point (a,0) through which the graph passes. Then _ x a _e 1+6f(x)...
- Let f(x) be a twice-differentiable function and f''(0)=2 then _ x 0 2f(x)-3f(2x)+f(4x) x^ 2 is
- _ n (1+ a n )^ n is equal to
- _ x 0 ( 1+5x^ 2 1+3x^ 2 )^ 1/x^ 2 is equal to
- _ x 0 ( 4 -x ) ^ 1/x is equal to
- _ x /4 (2- x)^ x is equal to
- _ x ( x-1 x+1 )^ x+2 is equal to
- If _ x (1+ x + x^ 2 )^ 2x =e^ 2 then
- _ 0+ is equal to
- Let x denote the fractional part of x. Then _ x 0 x x is equal to
- _ x _e[x] x , where [ ] denotes the greatest integer function, is
- _ x 1 1- 2(x-1) x-1
- _ x 1 x x-[x] x-1 , where [ ] denotes the greatest integer function, is
- _ x 0 x[x] |x| , where [ ] denotes the greatest integer function, is
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