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  • <img alt="\mathrm{~The~ function ~f(x)=\frac{4-x^2}{4 x-x^3}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%7EThe%7E%20function%20%7Ef%28x%29%3D%5Cfrac%7B4-x%5E2%7D%7B4%20x-x%5

\mathrm{~The~ function ~f(x)=\frac{4-x^2}{4 x-x^3}}

Option: 1

discontinuous at only one point
 


Option: 2

discontinuous exactly at two points
 


Option: 3

discontinuous exactly at three points
 


Option: 4

none of these


Answers (1)

best_answer

\mathrm{solution ~We ~have f(x)=\frac{4-x^2}{x\left(4-x^2\right)}}

\mathrm{Clearly, there ~are ~three ~points~ of~ idscontinuity~ viz. 0,2,-2, }

\mathrm{because~ f(x)~ does~not ~exist~ for~ these~ three ~values~ of~ x.}

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Anam Khan

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