Limit questions
411 published questions with worked solutions.
- For x > 0, _ x 0 ( x)^ 1/x + ( 1x )^ x is
- _ x 0 ( ^2 x) x^2 equals
- The integer n for which _ x 0 ( x - 1)( x - e^x) x^n is a finite nonzero number is
- Let f: R R be such that f(1) = 3 and f'(1) = 6. Then _ x 0 f(1+x) f(1) ^ 1/x equals
- Let g(x) = (x-1)^n ^m (x-1) ; 0 < x < 2, m and n are integers, m 0, n > 0, and let p be the left hand derivative of |x-1| at x =...
- Let L = _ x 0 a - a^2 - x^2 - x^2 4 x^4 , a > 0. If L is finite, then
- Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and _ x 0 (1 + p(x) x^2 ) = 2. Then the value of p(2) is
- _ x 0 e^ x^2 - x ^2 x is equal to
- If _ x (1+ ax- 4 x^2 )^ 2x = e^3, then a is equal to
- _ x 0 (1- 2x)^2 2x x - x 2x is
- _ x 3 3x - 3 2x-4 - 2 is equal to:
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