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

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

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limit as x approaches 1 of x/(sin(x))

x \to 1 lim (\frac{x}{sin ( x )})

\frac{1}{sin ( 1 )}

Decimal

1.18839 \dots

Solution steps

x \to 1 lim (\frac{x}{sin ( x )})

Plug in the value

x = 1

= \frac{1}{sin ( 1 )}

x \to 2 lim (\frac{2 x - 1}{6 x + 3})

x \to \infty lim (2 x^{2} + 5)

x \to 2 lim (x^{2} + 5 x + 1)

x \to 0 lim (x^{\frac{1}{3 x}})

x \to 0 lim ((1 + \frac{5}{x})^{x})

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