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

The limit as x approaches 1 of (sin(x-1))/x is 0

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

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

0

Solution steps

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

Plug in the value

x = 1

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

Simplify

\frac{sin ( 1 - 1 )}{1} : 0

= 0

\int \frac{ln ( 2 x )}{3 x} d x

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y = 80 (1 - e^{- 0.041 x})

\frac{\partial}{\partial x} (y (x^{2} + y)^{6})

x \to - 1 lim (x + 5)

What is the limit as x approaches 1 of (sin(x-1))/x ?
The limit as x approaches 1 of (sin(x-1))/x is 0