What is the limit as x approaches 0 of cos^2(5x) ?

The limit as x approaches 0 of cos^2(5x) is 1

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limit as x approaches 0 of cos^2(5x)

x \to 0 lim (cos^{2} (5 x))

1

Solution steps

x \to 0 lim (cos^{2} (5 x))

Plug in the value

x = 0

= cos^{2} (5 \cdot 0)

Simplify

cos^{2} (5 \cdot 0) : 1

= 1

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What is the limit as x approaches 0 of cos^2(5x) ?
The limit as x approaches 0 of cos^2(5x) is 1