Find the following limit or state that it does not exist. Assume b is a fixed real number.

ModifyingBelow lim With x right arrow b StartFraction left parenthesis x minus b right parenthesis Superscript $60$ Baseline minus $2$ x plus $2$ b Over x minus b EndFractionlimx$$b$($x$$b$)602$x$+2$bx$$b

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Part $1$

Simplify the given limit$.$

ModifyingBelow lim With x right arrow b StartFraction left parenthesis x minus b right parenthesis Superscript $60$ Baseline minus $2$ x plus $2$ b Over x minus b EndFractionlimx$$b$($x$$b$)602$x$+2$bx$$bequals$=$ModifyingBelow lim With x right arrow b left parenthesis nothing right parenthesislimx$$benter your response here

$($Simplify your$$ answer.$)$