Question 1:Check if the function is continuous at
.
Answer: Not continuous at .
Explanation: Find the domain of the function.
Question 2: Check if the function is continuous at
.
Answer: Not continuous at .
Explanation: Find the domain of the function.
Question 3:Check if the function is continuous at
.
Answer: Continuous at .
Explanation: Find the domain of the function.
Question 4: Check if the function is continuous at
.
Answer: Not continuous at .
Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.
Question 5: Check the continuity:
Answer: Function is continuous.
Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.
Question 6: Check the continuity at .
Answer: Not continuous at .
Explanation: Analyze the left-hand and right-hand side limits.
Question 7: Check the continuity of the function in the interval
Answer: Function is continuous.
Explanation: Analyze the curve in the given interval.
Question 8: Check the continuity at .
Answer: Function is not continuous.
Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.
Question 9: Check the continuity:
Answer: Function is continuous.
Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.
Question 10: Check the continuity at x=-4.
Answer: Function is not continuous.
Explanation: Analyze the value of a function, and the left-hand and right-hand sides of the limit.
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