MCQ_SINGLE

For what value of k, the function given below is continuous at \(x=0\) ? \(f(x)=\begin{cases}\frac{\sqrt{4+x}-2}{x},&x\ne0\\ k,&x=0\end{cases}\)

MCQ_SINGLE

If f(x)=∣x∣+∣x−1∣, then which of the following is correct?

VSA

Verify whether the function f defined by $f(x)=\begin{cases}x~sin(\frac{1}{x}),x\ne0\\ 0&,x=0\end{cases}$ is continuous at $x=0$ or not.

MCQ_SINGLE

If $f(x)=\begin{cases}\frac{x^{2}-4x-5}{x+1},&x\ne-1\\k,&x=-1\end{cases}$ is continuous at $x=-1$ then the value of k is:

SA

Find k so that $f(x)=\begin{cases}\frac{x^{2}-2x-3}{x+1},&x\ne-1\\ k,&x=-1\end{cases}$ is continuous at $x=-1$.

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