Hello please , can you help me with this limits , ps : i dont know how to say with bigger value so i said from the right )?

2016-10-07 6:22 pm
lim(x>-2 from the right ) =(2x^2) - (3/((x+2)^2)
thank you in advace

回答 (1)

2016-10-07 6:40 pm
You have mismatched parentheses.
So I'm not sure if you mean:

2x^2 − 3
------------ = (2x^2 − 3)/(x+2)^2
(x+2)^2

or
................. 3
2x^2 − ----------- = 2x^2 − 3/(x+2)^2
........... (x+2)^2


lim[x→−2⁺] (2x^2−3)/(x+2)^2 = (8−3)/+0 = +∞
lim[x→−2⁺] 2x^2 −3/(x+2)^2 = 8 − 3/+0 = −∞


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