If is continuous at

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If f(x)={1+kx−1−kxx,−1≤x<02x2+3x−2,0≤x≤1f(x)=\begin{cases}\dfrac{\sqrt{1+kx}-\sqrt{1-kx}}{x},&-1\le x<0\\2x^2+3x-2,&0\le x\le1\end{cases} is continuous at x=0x=0, then k=k= (a) −4-4 (b) −3-3 (c) −2-2 (d) −1-1

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