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Limits Continuity And Differentiability

AP EAPCET 2021 - 19th August Evening Shift

MCQ+1 / -02021

If $$f(x)=\left\{\begin{array}{cc}\frac{e^{\alpha x}-e^x-x}{x^2}, & x \neq 0 \\ \frac{3}{2}, & x=0\end{array}\right.$$


Find the value of \(\alpha\) for which the function \(f\) is continuous

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