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  •  Find the points of discontinuity of the following functions. <img alt="\mathrm{f(x)=\frac{1}{x^2+x+1}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bf%28x%29%3D%5Cf

 Find the points of discontinuity of the following functions.
\mathrm{f(x)=\frac{1}{x^2+x+1}}

Option: 1

\mathrm{f(x)} is continuous only at \mathrm{x=1}


Option: 2

\mathrm{f(x)} is continues only at \mathrm{ x=0}
 


Option: 3

\mathrm{f(x)} is continuous for all \mathrm{x}
 


Option: 4

NOTA


Answers (1)

best_answer

\mathrm{ f(x)=\frac{1}{\left(x^2+x+1\right)} }\\ \mathrm{as~ x^2+x+1>0~ because ~D<0} \text{thus f(x) is continuous for all x}

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Nehul

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