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

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

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

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

sin (1)

Decimal

0.84147 \dots

Solution steps

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

Plug in the value

x = - 1

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

Simplify

\frac{sin ( - 1 )}{- 1} : sin (1)

= sin (1)

e^{x + y} \frac{d y}{d x} = 2 x + x e^{y}

\frac{125}{x ^{2} + 25}

\frac{d}{d x} (x^{4} - 4 x^{2} + 2)

\frac{\partial}{\partial x} (- (x^{2} + y^{2}))

x \to 1 - lim (2 x + 2)

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