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lim(x rarr 0) ((1+x)^(n)-1)/x is...

`lim_(x rarr 0) ((1+x)^(n)-1)/x` is

A

n

B

1

C

(-n)

D

0

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The correct Answer is:
A
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. lim(x rarr 0) (x^(2) cos x)/(1- cos x) is

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  3. lim(x rarr 0) ((1+x)^(n)-1)/x is

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  4. The value of lim(theta to 0)(1-cos 4theta)/(1-cos 6 theta) is

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  5. lim(x rarr 0) (cosec x - cot x)/x is

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  6. lim(x rarr 0) (sin x)/(sqrt(x + 1) - sqrt(1-x)) is :

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  7. lim(x rarr pi/4) (sec^(2)x-2)/(tan x -1) is

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  8. lim(x rarr 1) ((sqrt(x) - 1) (2x - 3))/(2x^(2) + x - 3) is :

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  9. If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...

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  10. lim(x rarr 0) (|sin x|)/x is

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  11. Let f(x) = {{:(x^(2) - 1, 0 lt x lt 2),(2x + 3, 2 le x lt 3):}, the qu...

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  12. lim(x rarr 0) (tan 2x - x)/(3x - sin x), is :

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  13. The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is contin...

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  14. The function f(x)= [x], where [x] denotes greatest integer function is...

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  15. The number of points at which the function f(x) = (1)/(x - [x]) is :

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  16. Prove that the function defined by f(x)= tan x is a continuous functio...

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  17. Let f(x) = |sin x|. Then

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  18. The function f(x) = |x| + |x-1| is

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  19. The value of k which makes the function defined by : f(x) = {{:("sin...

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  20. If f(x) = 2x and g(x) = x^(2)/2 +1, then which of the following can be...

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