Evaluate :- limx -- -2 (2/x + 1/2) whole divided by x+2 - Maths - Limits and Derivatives

Question

Evaluate :- limx --> -2​ (2/x + 1/2) whole
divided by x+2

Neha Sethi · Accepted Answer

Dear student
limx→-22x+12x+2If limx→a-fx≠limx→a+fx then limit does not exist
Consider, limx→-2+2x+12x+2Note: limx→afx
gx=limx→afx 
limx→agx=limx→-2+2x+12limx→-2+1x+2=2-2+121-2+2=-12∞=-∞limx→-2-2x+12x+2=Note: limx→afx
gx=limx→afx 
limx→agx=limx→-2-2x+12limx→-2+1x+2=-12-∞=∞So, limx→-22x+12x+2 diverges
Regards

Evaluate :- limx --> -2​ (2/x + 1/2) whole divided by x+2

Evaluate :- limx --> -2 (2/x + 1/2) whole divided by x+2