Find the points of discontinuity, if any, of the following function: `f(x)={(x^4+x^3+2x^2)/(t a n^(-1)x)\ \ \ ,\ \ \ if\ x!=0 10\ \ \ ,\ \ \ if\ x=0`

Explanation

When `x neq 0`, then



`f(x)=frac{x^{4}+x^{3}+2 x^{2}}{tan ^{-1} x}`



We know that


`x^{4}+x^{3}+2 x^{2}` is a polynomial function which is everywhere continuous.


`{Also}`,


`tan ^{-1} x` is everywhere continuous.


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