What is the limit as x approaches 0 of cos(6x) ?

The limit as x approaches 0 of cos(6x) is 1

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limit as x approaches 0 of cos(6x)

x \to 0 lim (cos (6 x))

1

Solution steps

x \to 0 lim (cos (6 x))

Plug in the value

x = 0

= cos (6 \cdot 0)

Simplify

cos (6 \cdot 0) : 1

= 1

x \to \infty lim (x^{- 8})

x \to 1 lim (x^{2} - 6)

x \to - 8 + lim (\frac{1}{( x + 8 ) ^{2}})

x \to 0 + lim (2 x + 1)

x \to - 2 + lim (- x)

What is the limit as x approaches 0 of cos(6x) ?
The limit as x approaches 0 of cos(6x) is 1