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lim(xtopi//2)(a^(cotx)-a^cosx)/(cotx-cos...

`lim_(xtopi//2)(a^(cotx)-a^cosx)/(cotx-cosx)a gt 0` is equal to

A

`log_(e)(pi)/(2)`

B

`log_(e)2`

C

`log_(e)a`

D

a

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • lim_(xrarrpi//2)(a^(cotx)-a^cosx)/(cotx-cosx)a gt 0 is equal to

    A
    `log_(2)((pi)/(2))`
    B
    `log_e 2`
    C
    `log_e a`
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  • For agt0, let l=lim_(xto(pi)/2)(a^(cotx)-a^(cosx))/(cotx-cosc) and m=lim_(xto-oo)(sqrt(x^(2)+ax))-(sqrt(x^(2)-ax)) then

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  • lim_(xrarr0)(x^(2)cosx)/(1-cosx) is equal to

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    B
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