If f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 ...

If `f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 1,\ \ \ w h e n\ x=0` . Find whether `f(x)` is continuous at `x=0` .

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To determine whether the function \( f(x) \) is continuous at \( x = 0 \), we need to check if the following condition holds: \[ \lim_{x \to 0} f(x) = f(0) \] ### Step 1: Identify the function The function is defined as follows: ...

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If f(x) = (a sin x + sin 2x)/(x^(3)) ne 0 and f(x) is continuous at x =0 then

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a=2

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0

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1

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If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is

A

Continuous but not differentiable

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Neither continuous nor differentiable

C

Both continuous and differentiable

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Discontinuous but may be differentiable

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