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Question: The value of \(\lim _ { x \rightarrow 0 }\) \(\frac{5}{6}\) equals –...

The value of lim⁡x→0\lim _ { x \rightarrow 0 } 56\frac{5}{6} equals –

A

0

B

1

C

∞

D

½

Answer

1

Explanation

Solution

lim⁡x→0\lim _ { x \rightarrow 0 } (ex−tan⁡x−1x−tan⁡x)⏟1⋅etan⁡x⏟1\underbrace { \left( \frac { e ^ { x - \tan x } - 1 } { x - \tan x } \right) } _ { 1 } \cdot \underbrace { e ^ { \tan x } } _ { 1 } = 1