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Find the points of discontinuity, if ...

Find the points of discontinuity, if any, of the following function: `f(x)={(sinx)/x+cosx\ \ \ ,\ \ \ if\ x!=0 5\ \ \ ,\ \ \ if\ x=0`

Text Solution

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When `x neq 0`, then

`f(x)=frac{sin x}{x}+cos x`

We know that `sin x` as well as the identity function `x` both are everywhere continuous. So, the quotient function

Therefore,

...
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