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Answer 1 · 2017-07-22T16:27:58

17 (e) and 18 (d)

17

$lim_(xrarr4^-)f(x) = lim_(xrarr4)(2x+2) = 10$

$lim_(xrarr4^+)f(x) = lim_(xrarr4)(7+16/x) = 11$

Because the left and right limits are distinct, the two-sided limit does not exist.

18

$abs(x+2)/(x+2) = {(-1,"if",x < -2),(1,"if",x > -2):}$

Therefore,

$lim_(xrarr-2^-)(x+3)abs(x+2)/(x+2) = -1$

$lim_(xrarr-2^+)(x+3)abs(x+2)/(x+2) = 1$