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How do you find the limit of #(2x^2 + 1) /( (2-x)(2+x))# as x approaches infinity?

1 Answer

Jul 12, 2016

#lim_(x->oo)(2x^2+1)/((2-x)(2+x))= -2#

Explanation:

#lim_(x->oo)(2x^2+1)/(4-x^2)#

Divide by highest power of x

#lim_(x->oo)(2+1/x^2)/(4/x^2 - 1) = (2+0)/(0-1) = -2#

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