If f(x)={{:((sin[x])/([x]),at[x]ne0),(0,...

If `f(x)={{:((sin[x])/([x]),at[x]ne0),(0,at[x]=0):}` then `Lt_(x to theta)f(x)=`

A

0

B

1

C

`-1`

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:

D

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AAKASH SERIES-LIMITS-PRACTICE EXERCISE

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Lt(x to 0)(sinx)^(tanx)=
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Lt(x to 0)((1)/(x))^(1-cosx)=
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Lt(x to 0)log(2x)x=
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Lt(x to 0)(log(sinx)sin2x)=
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underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4)=
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Lt(x to 0)(64)/(x^(4))(1-"cos"(x)/(2)-"cos"(x)/(4)+"cos"(x)/(2)."cos"(...
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Lt(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2x-1)=
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Let alpha and beta be the distinct roots of ax^(2)+bx+c=0," then "unde...
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Lt(x to 0)((1-cos2x)(3+cosx))/(x.tan4x)=
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If Deltax= |{:(e^(x),-1),(sinx-1,1):}| then Lt(x to 0)(Delta(x))/(x)=
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Lt(x to 0)(sin2x+a sinx)/(x^(3)) is finite then a=
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