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lim
y→−1 (sqrt(y^2+8)-3)/y+3

find limit if it exists

step #1 in any limit question is to simply sub in your approach value.

lim ( (√(y^2 + 8) - 3)/(y+3) , y -->-1
= ( √9 - 3)/2
= 0/2
= 0

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