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

Evaluate Cosine Function: To solve the limit problem, we need to evaluate the cosine function as the variable x approaches the value of pi. The cosine function is continuous everywhere, so we can find the limit by direct substitution.Substitute x with pi: Substitute x with pi in the cosine function: cos(pi).Use Trigonometric Identities: Using the unit circle or trigonometric identities, we know that cos(pi) equals -1.Find the Limit: Therefore, the limit of cos(x) as x approaches pi is -1.

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

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

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Full solution

\lim _{x \rightarrow \pi} \cos (x)=?

\newline

Choose

1

answer:

\newline

(A)

-1

\newline

(B)

0

\newline

(C)

1

\newline

(D) The limit doesn't exist.

Evaluate Cosine Function: To solve the limit problem, we need to evaluate the cosine function as the variable $x$ approaches the value of $\pi$ . The cosine function is continuous everywhere, so we can find the limit by direct substitution.
Substitute $x$ with $\pi$ : Substitute $x$ with $\pi$ in the cosine function: $\cos(\pi)$ .
Use Trigonometric Identities: Using the unit circle or trigonometric identities, we know that $\cos(\pi)$ equals $-1$ .
Find the Limit: Therefore, the limit of $\cos(x)$ as $x$ approaches $\pi$ is $-1$ .