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JEE Main20202 Sep 2020Evening ShiftMathematicsLimitsActual

lim x → 0 tan π 4 + x 1 / x is equal to

Options

  1. Ae
  2. B2
  3. C1
  4. De 2

Correct answer

D. e 2

Step-by-step solution

lim x → 0 tan π 4 + x 1 / x                   1 ∞ form = e lim x → 0 tan π 4 + x - 1 x                           lim x → a f x g x = e lim x → a g x f x - 1 ,   lim x → a f x = 1   &   lim x → a g x = ∞ = e lim x → 0 1 + tan x 1 - tan x - 1 x = e lim x → 0 2 tan x x 1 - tan x   = e lim x → 0 tan x x 2 1 - tan

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