Question
Let f(x) = lim f(x) = x-5- lim f(x) = x+5+ 4+x, x <5, 5-x, x>5. Find the indicated one-sided limits of f, and
Let f(x) = lim f(x) = x-5- lim f(x) = x+5+ 4+x, x 5. Find the indicated one-sided limits of f, and determine the conti- nuity of f at the indicated point. NOTE: Type DNE if a limit does not exist. You should also sketch a graph of y= f(x), including hollow and solid circles in the appropriate places. lim f(x) = x-5 (5) = Is f continuous at x = 5? (YES/NO) Let -2x, f(x) = { 1, 2x, lim f(x) = x-4- lim f(x)= x-4+ Find the indicated one-sided limits of f, and determine the conti- nuity of f at the indicated point. x 4. NOTE: Type DNE if a limit does not exist. You should also sketch a graph of y = f(x), including hollow and solid circles in the appropriate places. lim f(x)=. x-4 (4) = . Is f continuous at x = 4? (YES/NO).
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
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