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lim(x rarr 1) (log(e)x)/(x-1) equals :...

`lim_(x rarr 1) (log_(e)x)/(x-1)` equals :

A

(1/2)

B

(-1)

C

1

D

0

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  7. lim(x rarr 0) ((tan x -x)/x). (Sin) 1/x =

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  11. lim(n rarr oo) [1/(1-n^(4))+ 8/(1-n^(4))+ ....+ n^(3)/(1-n^(4)]] =

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  12. lim(n rarr oo) [2/3 + (2/3)^(2) + (2/3)^(2)+.....+(2/3)^(n)] =

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  18. lim(x rarr 1) (x^(2)-1)/(|x-1|) =

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  19. If f(x) = {(1/(1+e^(1/x)), x ne 0),(0, x= 0):} then f(x) is

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