A calculus problem by Guillermo Templado

Calculus Level pending

Let's considerate f(x) = ( s i n ( x ) c o s ( x ) ) ( ( x 2 ) c o t g ( x ) ) \frac {(sin (x) cos(x))}{((x^2)cotg(x))} if x is different of 0 and f(x)= 3 if x=0. Which is the limit of f(x) when x aprroaches to 0?


The answer is 1.

Guillermo Templado by Guillermo Templado , 46, Spain

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1 solution

sin (x) ~ x when x aproaches to 0

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