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

The limit as x approaches 1 of sin^2(x-1) is 0

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limit as x approaches 1 of sin^2(x-1)

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

0

Solution steps

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

Plug in the value

x = 1

= sin^{2} (1 - 1)

Simplify

sin^{2} (1 - 1) : 0

= 0

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What is the limit as x approaches 1 of sin^2(x-1) ?
The limit as x approaches 1 of sin^2(x-1) is 0