Question

question 4 (1 point) ✓ saved evaluate the limit for the graph: \\( \lim _{x \
ightarrow 1^{+}} f(x) \\). a) \\( -\infty \\) b) 1 c) \\( +\infty \\) d) 0

Explanation:

Step1: Understand the right - hand limit

The limit \(\lim_{x
ightarrow1^{+}}f(x)\) means we are looking at the behavior of the function \(y = f(x)\) as \(x\) approaches \(1\) from values greater than \(1\) (\(x>1\)).

Step2: Analyze the graph

Looking at the graph, as \(x\) approaches \(1\) from the right - hand side (\(x>1\)), the \(y\) - values of the function \(f(x)\) get larger and larger without bound. In limit notation, when a function \(y = f(x)\) increases without bound as \(x\) approaches a value \(a\) from a particular side, we say \(\lim_{x
ightarrow a^{+}}f(x)=+\infty\)

Answer:

C. \(+\infty\)