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

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

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

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

4

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 4 \cdot x \to 0 lim (\frac{tan ( x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{sec ^{2} ( x )}{1})

= 4 \cdot x \to 0 lim (\frac{sec ^{2} ( x )}{1})

Plug in the value

x = 0

= 4 \cdot \frac{sec ^{2} ( 0 )}{1}

Simplify

4 \cdot \frac{sec ^{2} ( 0 )}{1} : 4

= 4

x \to + 2 lim ((2 x - 1)^{2} - x^{2})

\frac{d}{d x} (ln (e^{9 x}))

x e^{x^{2}} d x + (y^{5} - 1) d y = 0, y (0) = 0

\frac{d ^{2}}{d x ^{2}} (2 sec (x))

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