What is the limit as x approaches 0.1 of (sin(x))/x ?

The limit as x approaches 0.1 of (sin(x))/x is 0.99833…

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limit as x approaches 0.1 of (sin(x))/x

x \to 0.1 lim (\frac{sin ( x )}{x})

0.99833 \dots

Solution steps

x \to 0.1 lim (\frac{sin ( x )}{x})

Plug in the value

x = 0.1

= \frac{sin ( 0.1 )}{0.1}

Simplify

\frac{sin ( 0.1 )}{0.1} : 0.99833 \dots

= 0.99833 \dots

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x \to 0 - lim (\frac{1}{x} - csc (x))

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x \to 0 lim (s g (s, x) n (x))

x \to 0 + lim (x^{2} ln (x^{2} + x))

What is the limit as x approaches 0.1 of (sin(x))/x ?
The limit as x approaches 0.1 of (sin(x))/x is 0.99833…