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

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

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

x \to 0 lim (sin (x - 1))

- sin (1)

Decimal Notation

- 0.84147 \dots

Solution steps

x \to 0 lim (sin (x - 1))

Plug in the value

x = 0

= sin (0 - 1)

Simplify

sin (0 - 1) : - sin (1)

= - sin (1)

x \to - 2 + lim (x^{2} - 4 x + 6)

x \to \infty lim (2 x + 6)

x \to 0 lim (3 x^{s i n (x)})

x \to 0 lim (\frac{f ( 2 x )}{x})

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

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