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

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

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

x \to 1 lim (sin (x - 1))

0

Solution steps

x \to 1 lim (sin (x - 1))

Plug in the value

x = 1

= sin (1 - 1)

Simplify

sin (1 - 1) : 0

= 0

x \to 4 lim (3 x + 2)

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

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

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

u \to 0 lim (csc (u) - cot (u))

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