What is the limit as x approaches 1 of (sin(2x))/x ?

The limit as x approaches 1 of (sin(2x))/x is sin(2)

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limit as x approaches 1 of (sin(2x))/x

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

sin (2)

Decimal

0.90929 \dots

Solution steps

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

Plug in the value

x = 1

= \frac{sin ( 2 \cdot 1 )}{1}

Simplify

= sin (2)

x \to \infty lim (- \frac{1}{x} - 1)

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

x \to 0 lim (arctan (x) - x)

x \to \infty lim (\frac{x ^{2} ln ( x )}{x ^{2.01}})

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

What is the limit as x approaches 1 of (sin(2x))/x ?
The limit as x approaches 1 of (sin(2x))/x is sin(2)