evaluate lim x→∞ 2 cos x answer: note: input inf for ∞, -inf for -∞ or dne if needed. video example: solving…

evaluate lim x→∞ 2 cos x answer: note: input inf for ∞, -inf for -∞ or dne if needed. video example: solving a similar problem

evaluate lim x→∞ 2 cos x answer: note: input inf for ∞, -inf for -∞ or dne if needed. video example: solving a similar problem

Answer

Explanation:

Step1: Recall cosine - function property

The cosine function (y = \cos x) oscillates between - 1 and 1 for all real - valued (x), i.e., (-1\leqslant\cos x\leqslant1) for (x\in R).

Step2: Analyze the limit

We have (\lim_{x\rightarrow\infty}2\cos x). Since (\cos x) does not approach a single value as (x\rightarrow\infty) (it keeps oscillating between - 1 and 1), the function (y = 2\cos x) also does not approach a single value as (x\rightarrow\infty).

Answer:

dne