Asked by Mike
Find the limit. lim 1/x^2-4
a)x->2^+
b)x->2^-
c)x->-2^+
d)x->-2^-
I'm completely lost. I don't understand how some answers are infinity and the others are negative infinity.
a)x->2^+
b)x->2^-
c)x->-2^+
d)x->-2^-
I'm completely lost. I don't understand how some answers are infinity and the others are negative infinity.
Answers
Answered by
Steve
well since the fraction approaches 1/0, clearly it will approach either +∞ or -∞
So, just check the denominator to see whether it is positive or negative.
a) x->2+ means x > 2. So, x^2 > 4 and the limit is +∞
similarly for the others.
So, just check the denominator to see whether it is positive or negative.
a) x->2+ means x > 2. So, x^2 > 4 and the limit is +∞
similarly for the others.
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