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Evaluate the limit. Lim_(x rarr0)Cos(4x)-1

Evaluate the limit.\newlineLim⁡x→0Cos⁡(4x)−1 \operatorname{Lim}_{x \rightarrow 0} \operatorname{Cos}(4 x)-1

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Full solution

Q. Evaluate the limit.\newlineLim⁡x→0Cos⁡(4x)−1 \operatorname{Lim}_{x \rightarrow 0} \operatorname{Cos}(4 x)-1
  1. Plug in x value: First, let's plug in the value of xx into the equation to see if it gives us a direct answer.lim⁡x→0cos⁡(4x)−1=cos⁡(4⋅0)−1=cos⁡(0)−1=1−1=0\lim_{x \rightarrow 0}\cos(4x)-1 = \cos(4\cdot 0)-1 = \cos(0)-1 = 1-1 = 0.

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