Question

lim x tends to 0 (tanx/2 )/x​

Answer 1

Step-by-step explanation:

$\binom{lim}{x ->0} \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{tan \frac{x}{2} }{x} \\ = \binom{lim}{x ->0} \: \: \: \: \: \: \: \: \: \: \: \: \frac{ \tan( \frac{x}{2} ) }{ \frac{x}{2} \times 2 } \\ = \binom{lim}{x ->0} \: \: \: \: \: \: \frac{1}{2} ( \frac{\tan( \frac{x}{2} )}{ \frac{x}{2} } ) \\ \\ = \frac{1}{2}$

thats ur ans....

l

Answer 2

Answer:

1/2

Step-by-step explanation:

I am sure that you remember the famous limit:

$\lim_{x \to \ zero } \frac{sin x}{x}$ = 1

and property of limit:

The limit of a product is the product of the limits, if both limits are defined.