What is the limit as x approaches 0 of 1/(f(x)) ?

The limit as x approaches 0 of 1/(f(x)) is 1/(f(0))

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limit as x approaches 0 of 1/(f(x))

x \to 0 lim (\frac{1}{f ( x )})

\frac{1}{f ( 0 )}

Solution steps

x \to 0 lim (\frac{1}{f ( x )})

Plug in the value

x = 0

, assuming the function is continuous at this point

= \frac{1}{f ( 0 )}

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What is the limit as x approaches 0 of 1/(f(x)) ?
The limit as x approaches 0 of 1/(f(x)) is 1/(f(0))