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Let underset(x to 0)(lim) ("sin" 2X)/(x)...

Let `underset(x to 0)(lim) ("sin" 2X)/(x) = a` and `underset(x to 0)(lim) (3x)/(tan x) = b`, then a + b equals

A

5

B

6

C

0

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
`lim_(x to 0) (sin 2x)/(x) = lim_(x to 0) ((sin 2x)/(2x)) *2=2 rArr a=2`
`lim_(x to 0) (sin 3x)/(x) =3 lim_(x to 0) ((x)/(tan x)) =3 rArr a =3`
`a +b=2+3=5`
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