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

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

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limit as x approaches 0+of x/(sin(x))

x \to 0 + lim (\frac{x}{sin ( x )})

1

Solution steps

x \to 0 + lim (\frac{x}{sin ( x )})

Apply L'Hopital's Rule

: x \to 0 + lim (\frac{1}{cos ( x )})

= x \to 0 + lim (\frac{1}{cos ( x )})

Plug in the value

x = 0

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

Simplify

\frac{1}{cos ( 0 )} : 1

= 1

x \to 0 + lim (g (x) (x)^{c o t (x)})

x \to - \infty lim (3 x e^{x})

x \to 2 lim (\frac{x + 1}{x + 2})

x \to 1 lim (arccos (\frac{1}{x + 1}))

x \to 0 + lim (\frac{x}{e ^{- \frac{1}{x}}})

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