Asked by Jin
evaluate the limit
as lim goes to -1
(x^2 +2x +1)/ (x^4 -1)
the answer is zero but i don't know how to get it
as lim goes to -1
(x^2 +2x +1)/ (x^4 -1)
the answer is zero but i don't know how to get it
Answers
Answered by
bobpursley
factor thenumerator
(x+1)^2
over (x^2-1)(x^2+1)= (x+1)(x-1)(x^2+1)
so the numerator over the denominator is
(x+1)/(x-1)(x^2+1) and thelimit as x>>-1 is zero.
(x+1)^2
over (x^2-1)(x^2+1)= (x+1)(x-1)(x^2+1)
so the numerator over the denominator is
(x+1)/(x-1)(x^2+1) and thelimit as x>>-1 is zero.
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