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Domain and Range of Trigonometric Ratios

What is the l...

Question

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

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Solution

The limit does not exist.
Most instructors will accept the acronym DNE. The simple reason is that cosine is an oscillating function so it does not converge to a single value.
A related question that does have a limit is
${lim}_{x \to 0} c o s (\frac{1}{x}) = 1$

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Domain and Range of Trigonometric Ratios

Standard XII Mathematics

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