8. -15 points SCalcET8 2.4.015. My Notes Ask Your Teach Prove the statement using the e, & definition of a limit. lim (4+x) = 5 Given > 0, we need 8 ---Select--- So if we choose 8 = ---Select--- Illustrate with a diagram. y such that if 0 < x-21 <8, then |(4+x)-5| ---Select--- . But then 0<x-21<8 ⇒ |(4+)-5| < <E. Thus, lim (4+x). y x 2 |(4+)-5|< <+> | 11x-1 | < | 1 |× - 21 < >> |× - 21 < ---Select--- 5 by the definition of a limit. 5+0 5 5-8 5+8 5H 5-8 2-€ 2+€ 2-€ 2+€