Let `f(x) = {((x^(2) -2x -3)/(x + 1)","," when " x != -1),(" k,"," when " x = -1):}` If f(x) is continuous at `x = -1` then k = ?A. 4B. `-4`C. `-3`D. 2

Let `f(x) = {((x^(2) -2x -3)/(x + 1)","," when " x != -1),(" k,"," whe

1.	Let `f(x) = {((x^(2) -2x -3)/(x + 1)","," when " x != -1),(" k,"," when " x = -1):}` If f(x) is continuous at `x = -1` then k = ?A. 4B. `-4`C. `-3`D. 2
Answer» Correct Answer - B `underset(xrarr -1)(lim) f(x) = underset(x rarr -1)(lim) ((x -3) (x +1))/((x +1)) = underset(x rarr -1)(lim) (x -3) = -4` For continuity, we must have, `f(-1) = -4`

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Let `f(x) = {((x^(2) -2x -3)/(x + 1)","," when " x != -1),(" k,"," when " x = -1):}` If f(x) is continuous at `x = -1` then k = ?A. 4B. `-4`C. `-3`D. 2

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