What is the limit as x approaches pi/2 of sin^2(x) ?

The limit as x approaches pi/2 of sin^2(x) is 1

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limit as x approaches pi/2 of sin^2(x)

x \to \frac{π}{2} lim (sin^{2} (x))

1

Solution steps

x \to \frac{π}{2} lim (sin^{2} (x))

Plug in the value

x = \frac{π}{2}

= sin^{2} (\frac{π}{2})

Simplify

sin^{2} (\frac{π}{2}) : 1

= 1

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