question 1 1 pts true or false: f(x) has multiple points between x = a,b, and c where the limit of f(x)…

question 1 1 pts true or false: f(x) has multiple points between x = a,b, and c where the limit of f(x) doesnt exist true false

question 1 1 pts true or false: f(x) has multiple points between x = a,b, and c where the limit of f(x) doesnt exist true false

Answer

Explanation:

Step1: Analyze limit concept

The limit of a function $f(x)$ at a point $x = k$ exists if the left - hand limit and the right - hand limit are equal as $x$ approaches $k$. Looking at the graph between $x=a$, $x = b$ and $x=c$, the function appears to be continuous (no jumps, breaks or vertical asymptotes) in the open intervals between these points.

Step2: Determine existence of limits

Since there are no visible discontinuities (like removable, jump or infinite discontinuities) between $x=a$, $x = b$ and $x=c$, the limit of $f(x)$ exists at every point in the intervals between $a$, $b$ and $c$.

Answer:

False