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

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

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

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

1

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

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

Simplify

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

= 1

\frac{d}{d t} (e^{2 t s i n (2 t)})

\frac{d}{d x} (\frac{x ^{2}}{8} - \frac{1}{x})

n = 5 \sum \infty n

\int \frac{x ^{2} + 3 x + 1}{x} d x

\int \frac{1}{3 x ^{2} + 4} d x

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