What is the limit as x approaches 0.01 of (sin(x))/x ?

The limit as x approaches 0.01 of (sin(x))/x is 0.99998…

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limit as x approaches 0.01 of (sin(x))/x

x \to 0.01 lim (\frac{sin ( x )}{x})

0.99998 \dots

Solution steps

x \to 0.01 lim (\frac{sin ( x )}{x})

Plug in the value

x = 0.01

= \frac{sin ( 0.01 )}{0.01}

Simplify

\frac{sin ( 0.01 )}{0.01} : 0.99998 \dots

= 0.99998 \dots

x \to 2 lim (x^{3} - x^{2} + x)

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

x \to 5 lim ((x - 4) (x^{2} + 8))

x \to 5 + lim (x)

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

What is the limit as x approaches 0.01 of (sin(x))/x ?
The limit as x approaches 0.01 of (sin(x))/x is 0.99998…