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

The limit as x approaches 0+of ((cos(x)))/x is infinity

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limit as x approaches 0+of ((cos(x)))/x

x \to 0 + lim (\frac{( cos ( x ) )}{x})

\infty

Solution steps

x \to 0 + lim (\frac{cos ( x )}{x})

\frac{cos ( x )}{x} = cos (x) \frac{1}{x}

= x \to 0 + lim (cos (x) \frac{1}{x})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (cos (x)) \cdot x \to 0 + lim (\frac{1}{x})

x \to 0 + lim (cos (x)) = 1

x \to 0 + lim (\frac{1}{x}) = \infty

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 0 lim (x^{2} + x - 7)

x \to 2 lim (\frac{2 + x - 2}{3 6 + x - 2})

x \to \infty lim (x^{(\frac{l n ( 3 )}{1 + l n ( x )})})

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

x \to 1 - lim (x - 1)

What is the limit as x approaches 0+of ((cos(x)))/x ?
The limit as x approaches 0+of ((cos(x)))/x is infinity