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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= 1 - cos (0^{2})

Simplify

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

= 0

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

x \to - 4 lim (7)

x \to - 3 lim (\frac{x ^{3} - 9}{x + 3})

x \to 0 lim ((x) tan (x))

x \to \infty lim (\frac{- 4}{x})

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