Function $f$ is graphed.

Find $\lim _{x \rightarrow 3}(5 f(x))$.
Choose 1 answer:
(A) 5
(B) 10
(C) 15
(D) 20
(E) The limit doesn't exist.

Q: Function $f$ is graphed. Find $\lim _{x \rightarrow 3}(5 f(x))$. Choose 1 answer: (A) 5 (B) 10 (C) 15 (D) 20 (E) The limit doesn't exist.

∻Solution by Steps∻ ‖ step 1 ⋮ To find the limit $\lim_{x \to 3} (5 f(x))$, we first need to determine the value of $f(x)$ as $x$ approaches 3. ‖ ‖ step 2 ⋮ From the graph, as $x$ approaches 3, $f(x)$ approaches 2. ‖ ‖ step 3 ⋮ Therefore, $\lim_{x \to 3} f(x) = 2$. ‖ ‖ step 4 ⋮ Now, we multiply this limit by 5: $\lim_{x \to 3} (5 f(x)) = 5 \cdot 2 = 10$. ‖ ***B*** ∻Key Concept∻ ⚹Limit of a function⚹ ∻Explanation∻ ⚹The limit of a function as $x$ approaches a certain value is the value that the function approaches as $x$ gets closer to that value. In this case, we multiplied the limit of $f(x)$ by 5 to find the limit of $5 f(x)$.⚹◊What is the formula for calculating the limit of $5f(x)$ as $x$ approaches 3?⍭ Generate me a similar question◊

Question

Function $f$ is graphed.

Find $\lim _{x \rightarrow 3}(5 f(x))$.
Choose 1 answer:
(A) 5
(B) 10
(C) 15
(D) 20
(E) The limit doesn't exist.

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the limit $\lim_{x o 3} (5 f(x))$, we first need to determine the value of $f(x)$ as $x$ approaches 3. ‖ ‖ step 2 ⋮ From the graph, as $x$ approaches 3, $f(x)$ approaches 2. ‖ ‖ step 3 ⋮ Therefore, $\lim_{x o 3} f(x) = 2$. ‖ ‖ step 4 ⋮ Now, we multiply this limit by 5: $\lim_{x o 3} (5 f(x)) = 5 \cdot 2 = 10$. ‖ ***B*** ∻Key Concept∻ ⚹Limit of a function⚹ ∻Explanation∻ ⚹The limit of a function as $x$ approaches a certain value is the value that the function approaches as $x$ gets closer to that value. In this case, we multiplied the limit of $f(x)$ by 5 to find the limit of $5 f(x)$.⚹◊What is the formula for calculating the limit of $5f(x)$ as $x$ approaches 3?⍭ Generate me a similar question◊

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