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lim_(x rarr0)cos(x)=?
Choose 1 answer:
(A) -1
(B) 0
(C) 1
(D) The limit doesn't exist.

limx0cos(x)=? \lim _{x \rightarrow 0} \cos (x)=? \newlineChoose 11 answer:\newline(A) 1-1\newline(B) 00\newline(C) 11\newline(D) The limit doesn't exist.

Full solution

Q. limx0cos(x)=? \lim _{x \rightarrow 0} \cos (x)=? \newlineChoose 11 answer:\newline(A) 1-1\newline(B) 00\newline(C) 11\newline(D) The limit doesn't exist.
  1. Evaluate the limit: To solve the limit problem, we need to evaluate the limit of the cosine function as xx approaches 00.limx0cos(x)=cos(0)\lim_{x \to 0} \cos(x) = \cos(0)
  2. Cosine of 00 degrees: We know from trigonometry that the cosine of 00 degrees (or 00 radians) is equal to 11.cos(0)=1\cos(0) = 1
  3. Limit of cos(x)\cos(x) as xx approaches 00: Therefore, the limit of cos(x)\cos(x) as xx approaches 00 is equal to 11.limx0cos(x)=1\lim_{x \to 0} \cos(x) = 1

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