lim(xto oo)sqrt((x-sinx)/(x+cos^(2)x))=...

`lim_(xto oo)sqrt((x-sinx)/(x+cos^(2)x))=`

A

0

B

1

C

`oo`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:

B

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NEW JOYTHI PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE

lim(xto oo)(1^(2)+2^(2)+ . .. +n^(2))/(n^3)
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If lim(xto0)f(x)=l in R, then
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lim(xto oo)sqrt((x-sinx)/(x+cos^(2)x))=
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lim(xto+oo)(sqrt(2x^(2)+5))/(2x+3) is
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A function f:RtoR is such that f(x+y)=f(x).f(y) for all x.y inR and f(...
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f(x+y)=f(x).f(y) for all x,yinR and f(5)=2,f'(0)=3 then f'(5) is equal...
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f(x+y)=f(x).f(y) for all x,yinR and f(5)=2,f'(0)=3 then f'(5) is equal...
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f(x)=(x)/(1+|x|) then f is differentiable at
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If f'(a)=2 and f(a)=4 then lim(xtoa)(xf(a)-af(x))/(x-a) equals to
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If f(x) be an even function. Then f'(x)
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let f(x)=(sin4pi[x])/(1+[x]^(2)), where px] is the greatest integer le...
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If lim(xto)(f(x))/(x^(2))=k then lim(xto1)f(x)=
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f(x)=|x-1|+|x-3| then f'(2) is
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f(x)=sqrt(x^(2)+1) then lim(xto3)(f(x)-sqrt(10))/(x-3) is
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If underset(xtoa)lim{(f(x))/(g(x))} exists, then
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If f(1)=1 and f'(1)=2 then lim(xto1)((f(x))^(2)-1)/(x^(2)-1) is
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lim(xtoa)(x^(2)sinx-a^(2)sina)/(x-a)
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If lim(xto2)(x^(p)-2^(p))/(x-2)=192, then p
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if lim(xto0)(sinax)/(xcosbx)=
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if lim(zto-1)(sqrt(z)-1)/(1-z)=
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