If _ x 0 (cos x + a sin bx) 1/x = e 2 , then the values of a and b are

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If \(\lim _{x \rightarrow 0}\) (cos x + a sin bx)1/x = e2, then the values of a and b are
  1. a = 1, b = 2
  2. a = 2, b = 1/2
  3. \(\mathrm{a}=2 \sqrt{2}, \mathrm{~b}=\frac{1}{\sqrt{2}}\)
  4. a = 4, b = 2

Answer

(A) a = 1, b = 2, (C) a =2 2 , ~b = 1 2

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