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If lim(x rarr 5)((x^k - 5^k)/(x - 5)) = ...

If `lim_(x rarr 5)((x^k - 5^k)/(x - 5)) = 500`, then k is equal to

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Match List - I with List-II

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  2. Let f and g be two continuous and let h be defined as h(x) = lim(n r...

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  3. If lim(x rarr 5)((x^k - 5^k)/(x - 5)) = 500, then k is equal to

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  4. Evaluate the following limits (if exists), where {,} denotes the fract...

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  5. Evaluate the following limits (if exists), where {,} denotes the fract...

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  6. Evaluate the following limits (if exists), where {,} denotes the fract...

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  7. Evaluate the following limits (if exists), where {,} denotes the fract...

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  8. Evaluate the following limits (if exists), where {,} denotes the fract...

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  9. Evaluate the following limits (if exists), where {,} denotes the fract...

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  10. Evaluate the following limits (if exists), where {,} denotes the fract...

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  11. If x is a real number in [0, 1]. Then find the value of lim(m rarr inf...

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  12. Let alpha in R ,Prove that a function f : R rarr R is differentiable a...

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  13. Suppose p(x) = a0 + a1x + a2x^2 +…+ anx^n. If |p(x)| le |e^(x-1) - 1| ...

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  14. Let f(x)={((a(1-sinx)+b.cosx+5)/x^2,xlt0),(3, x=0),((1+((cx+dx^3)/x^...

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  15. about to only mathematics

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  16. Let f(x) be a continuous function in [-1, 1] and satisfies f(2x^2 - 1)...

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  17. Let g(x) =int0^x f(t) dt where f is such that 1//2lef(t)le1 for tin[0,...

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  18. Determine the values of x for which the following functions fails to b...

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  19. In a function f : [-2a, 2a] rarr R is an odd function such that f(x) =...

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  20. lim(xrarr0)sqrt(1-cos2x)/(sqrt2x) is equal to

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