a) lim_{x-> - 7}f(x)\nb) lim_{x-> - 1}f(x)
a) lim_{x-> - 7}f(x)\nb) lim_{x-> - 1}f(x)
Answer
Explanation:
Step1: Analyze left - hand limit as x→ - 7
As x approaches - 7 from the left side, the function values approach - 3.
Step2: Analyze right - hand limit as x→ - 7
As x approaches - 7 from the right side, the function values approach - 3. Since the left - hand limit and the right - hand limit are equal, $\lim_{x\rightarrow - 7}f(x)=-3$.
Step3: Analyze left - hand limit as x→ - 1
As x approaches - 1 from the left side, the function values approach 6.
Step4: Analyze right - hand limit as x→ - 1
As x approaches - 1 from the right side, the function values approach 6. Since the left - hand limit and the right - hand limit are equal, $\lim_{x\rightarrow - 1}f(x)=6$.
Answer:
a) - 3 b) 6