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lim(t to0)(1-(1+t)^(t))/(In (1+t)-t) is ...

`lim_(t to0)(1-(1+t)^(t))/(In (1+t)-t)` is equal to

A

`1/2`

B

`-1/2`

C

`2`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
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  3. If I(1)=lim(xto oo)(tan^(-1)pi x- tan^(-1)x)cosx and I(2)=lim(xto0)(ta...

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  4. If f(x)=0 be a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

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  8. Let f(x) be a real valued function defined for all xge1, satistying f(...

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  9. The quadratic equation whose roots are the minimum value of sin^(2)the...

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  10. If x1=sqrt(3) and x(n+1)=(xn)/(1+sqrt(1+x n^2)),AA n in N then lim(n...

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  11. lim(xtoa^(-))(sqrt(x-b)-sqrt(a-b))/((x^(2)-a^(2))),(agtb) is

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  14. The value of lim sum(k=1)^n (n-k)/n cos((4k)/n) equals to

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  15. lim(x->0)(1-sqrt(cos2x)*root(3)(cos3x).....root(n)(cosnx))/x^2 has ...

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  18. If f(x)=1/3(f(x+1)+5/(f(x+2))) and f(x)gt0,AA x epsilonR, then lim(xto...

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  19. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2<f(x)<(x^2|4x...

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