What is the limit as x approaches c of \sqrt[3]{f(x)} ?

The limit as x approaches c of \sqrt[3]{f(x)} is cube root of f(c)

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limit as x approaches c of \sqrt[3]{f(x)}

x \to c lim (3 f (x))

3 f (c)

Solution steps

x \to c lim (3 f (x))

Plug in the value

x = c

, assuming the function is continuous at this point

= 3 f (c)

f (x) = \frac{3}{x + 5}

x \to 2 lim (\frac{x + 7 - 3 4 x + 19}{x - 2})

\int 2 x csc (2 x) cot (2 x) d x

\int x^{x} d x

\int \frac{( sec ( x ) + cos ( x ) )}{3 cos ( x )} d x

What is the limit as x approaches c of \sqrt[3]{f(x)} ?
The limit as x approaches c of \sqrt[3]{f(x)} is cube root of f(c)