What is the limit as x approaches 0 of cos(sqrt(x)) ?

The limit as x approaches 0 of cos(sqrt(x)) is 1

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limit as x approaches 0 of cos(sqrt(x))

x \to 0 lim (cos (x))

1

Solution steps

x \to 0 lim (cos (x))

Plug in the value

x = 0

= cos (0)

Simplify

cos (0) : 1

= 1

x \to 1 - lim (\frac{5}{x - 1})

x \to 0 lim (13)

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

x \to 3 lim (x^{2} - 8 x + 16)

x \to 0 lim (\frac{sin ( 8 x ) - 2}{x})

What is the limit as x approaches 0 of cos(sqrt(x)) ?
The limit as x approaches 0 of cos(sqrt(x)) is 1