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Let p=lim(x->0^+)(1+tan^2 sqrt(x))^(1/(2...

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

A

2

B

1

C

`1/2`

D

`1/4`

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-LIMITS-Exercise (Questions Asked In Previous 13 Years Exam)
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  5. Let L=("lim")(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i...

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  6. The lim(xto(pi)/2)(cot x-cosx)/((pi-2x)^(3)) equals

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

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  8. lim(n -> oo) (((n+1)(n+2)(n+3).......3n) / n^(2n))^(1/n)is equal to

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  11. If lim(xtooo)((x^(2)+x+1)/(x+1)-ax-b)=4, then

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  12. let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

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  13. If ("lim")(xvec0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,s mftheta in ...

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  14. For xgt0, lim(xto0) {(sinx)^(1//x)+((1)/(x))^sinx}, is

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  15. underset(h to 0)lim (f(2h+2+h^(2)))/(f(h-h^(2)+1)-f(1))"given that "f'...

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  16. lim(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0, when n is a non-zero posit...

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  17. The integer n for which lim(x rarr 0) ((cos x-1) ( cos x - e^x))/x^n i...

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  18. Let f:RtoR be such that f(1)=3 andf'(1)=6. Then lim(xto0)[(f(1+x))/(f(...

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  19. For x epsilonR, lim(xto oo)((x-3)/(x+2))^(x) is equal to

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