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Analyzing Limits and Continuity at c=4 by SUMIT SHARMA is a document available to read on EtoBox.

1. The objective is to find the limit of a function f(x) as x approaches a value c and check if the function is continuous at that point. 2. The function f(x) is defined as x^2 - 16 if x ≠ 4 and 10 if x = 4. Values of f(x) are calculated for x values approaching 4 from the left and right and recorded in tables. 3. The limits from the left and right are both equal to 10, so the limit as x approaches 4 is 10. But f(4) = 10, so the limit does not equal f(c). Therefore, the function is not continuous at x

Author

SUMIT SHARMA

Language

EN