Question

Lim
x tends to pi/2
$\frac{ \tan(2x) }{x - \frac{\pi}{2} }$
​

Answer 1

Answer refers to the attachment .

Here we have calculated LHL and RHL of the limit.

→ Which are equal hence the limit will exist and answer is 2

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• lim x→ 0 tanx/x = 1
• lim x→ 0 sinx/x = 1
• lim x→ a sin(x-a)/x-a = 1

Some more questions are :-

Question → Find the value of

lim x→ 0 (LHL) [x]

Answer → -1 .

Question → lim x→ 0 [RHL] [x]

Answer → 1

Question → lim x→1 [LHL] x-[x]

Answer → 1