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

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

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limit as x approaches 0 of 1-cos^2(x)

x \to 0 lim (1 - cos^{2} (x))

0

Solution steps

x \to 0 lim (1 - cos^{2} (x))

Plug in the value

x = 0

= 1 - cos^{2} (0)

Simplify

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

= 0

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\frac{d}{d x} (\frac{x ^{2} - 1}{( x - 1 ) ^{2}})

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