Question

for the function f(x) shown below, determine lim f(x). x→1+

Explanation:

Step1: Understand right - hand limit

The notation $\lim_{x
ightarrow1^{+}}f(x)$ means we are looking at the value the function $f(x)$ approaches as $x$ approaches $1$ from the right - hand side (values of $x$ greater than $1$).

Step2: Analyze the graph

Looking at the graph, as $x$ values get closer and closer to $1$ from the right (values like $1.1,1.01,1.001,\cdots$), the $y$ - values of the function approach $- 1$.

Answer:

$-1$