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The value of lim(xto pi//2)(cot x-cosx)/...

The value of `lim_(xto pi//2)(cot x-cosx)/(pi-2x)^3` is

A

`1//4`

B

`1//24`

C

`1//16`

D

`1//8`

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Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Questions for Previous Years AIEEE/JEE Main Papers
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  3. Lim( x -> 0) (1 -cos2x)^2 / (2xtanx - x tan2x) is

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  4. Let p=lim(x->0^+)(1+tan^2 sqrt(x))^(1/(2x)) then log p is equal to

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  6. lim(x->3) (sqrt(3x)-3)/(sqrt(2x-4)-sqrt2) is equal to

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  8. The value of lim(xto pi//2)(cot x-cosx)/(pi-2x)^3 is

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  9. For each t in R let [t] be the greatest integer less than or equal to ...

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  10. lim(x to 0) (x tan 2x -2x tan x)/((1- cos 2x)^(2)) equal

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  11. lim(x-gt0)((27+x)^(1/3)-3)/(9-(27+x)^(2/3))

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  12. If the function f defined as f(x) = 1/x - (k-1)/(e^(2x)-1), x != 0, is...

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  13. lim(y->oo)(sqrt(1+sqrt(1+y^(4)))-sqrt(2))/(y^(4))= (a) (1)/(4sqrt...

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  15. For each t in RR, let [t] be the greatest integer less than or equal t...

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  16. Let [x] denote the greatest integer less than or equal to Then: li...

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  19. underset(x to 1-)lim (sqrtpi-sqrt(2 sin^(-1) x))/sqrt(1-x) is equal t...

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  20. Let f:Rto R be a function defined as f(x)={{:(5,"if" x le 1),(a+bx , ...

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