The function f: R- 0 R is given by f(x)= 1 x - 2 e^ 2 x -1 can be made continuous at x=0…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The function \(f: R-\{0\} \rightarrow R\)  is given by \(f(x)=\frac{1}{x}-\frac{2}{e^{2 x}-1}\) can be made continuous at \(x=0\) by defining \(f(0)\) as
  1. \(2\)
  2. \(\pi\)
  3. \(0\)
  4. \(1\)

Answer

(A) 2

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