What is the limit as x approaches 0 of (g(x))/(f(x)) ?

The limit as x approaches 0 of (g(x))/(f(x)) is (g(0))/(f(0))

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limit as x approaches 0 of (g(x))/(f(x))

x \to 0 lim (\frac{g ( x )}{f ( x )})

\frac{g ( 0 )}{f ( 0 )}

Solution steps

x \to 0 lim (\frac{g ( x )}{f ( x )})

Plug in the value

x = 0

, assuming the function is continuous at this point

= \frac{g ( 0 )}{f ( 0 )}

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What is the limit as x approaches 0 of (g(x))/(f(x)) ?
The limit as x approaches 0 of (g(x))/(f(x)) is (g(0))/(f(0))