Select and write the most appropriate answer from the given alternatives for question : If \(f(x)=1-x\), for…

Select and write the most appropriate answer from the given alternatives for question : If \(f(x)=1-x\), for \(0 < x \leq 1=k\) for \(x=0\) is continuous at \(x=0\), then \(k\) \(=\)
  1. $2$
  2. $0$
  3. $-1$
  4. 1

Solution

\(f(x)=1-x, \text { for } 0 < x \leq 1\) \(=k\), for \(x=0\) \(\lim _{x \rightarrow o^{+}} f(x)=f(0)\) \(\lim _{x \rightarrow o^{+}}(1-x)=k\) \(\Rightarrow 1-0=K\) \(\therefore K=1\)

Asked in: MHT CET 2022 (05 Aug Shift 2)

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