What is the limit as x approaches 0 of (4x)/(cos(x)) ?

The limit as x approaches 0 of (4x)/(cos(x)) is 0

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limit as x approaches 0 of (4x)/(cos(x))

x \to 0 lim (\frac{4 x}{cos ( x )})

0

Solution steps

x \to 0 lim (\frac{4 x}{cos ( x )})

Plug in the value

x = 0

= \frac{4 \cdot 0}{cos ( 0 )}

Simplify

\frac{4 \cdot 0}{cos ( 0 )} : 0

= 0

x \to 0 lim (- f (x))

x \to 2 - lim (\frac{x - 4}{x - 2})

x \to \frac{7}{8} lim (\frac{1}{8 x - 7})

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x \to 0 lim (\frac{tan ( 5 x )}{tan ( 7 x )})

What is the limit as x approaches 0 of (4x)/(cos(x)) ?
The limit as x approaches 0 of (4x)/(cos(x)) is 0