Gx 1 x5 find lim x 4 Gx and lim x 4 Gx A Graph B Lim x4 Gx

G(x) = 1/ x+5 ; find lim x--> -4 G(x) and lim x--> -4 G(x)

A. Graph

B. Lim x-->-4 G(x)=_____?

C. Lim x-->-5 G(x)=_____?

Solution

G(x)=1/(x+5)

lim x -->-4, G(x)= 1(-4+5)=1

x-->-5 G(x) = 1/(-5+5)=1/0= infinite

Therefore lim x-->-5 G(x)= infinite