for the function f(x) shown below, determine lim f(x). x→1+
for the function f(x) shown below, determine lim f(x). x→1+
Answer
Explanation:
Step1: Understand right - hand limit
The notation $\lim_{x\rightarrow1^{+}}f(x)$ 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:
$-1$