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If underset(x to 0)lim""(x^(n)sin^(n)x)/...

If `underset(x to 0)lim""(x^(n)sin^(n)x)/(x^(n)-sin^(n)x)` is non-zero finite, then n equals :

A

1

B

2

C

3

D

n

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • underset(n to oo)lim""((n!)^(1//n))/(n) equals :

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    B
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    D
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    D
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  • int(cos^(n-1)x)/(sin^(n+1)x)dx,n ne 0 is :

    A
    `(cot^(n)x)/(n)+C`
    B
    `-(cot^(n-1)x)/(n-1)+C`
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    D
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