Easy Limit

2013-11-30 11:11 pm
Find the limit as x tends to negative infinity
(Square root of (4x^(2) + 1) ) / (4x+1)

I get 1/2, but my textbook ans is -1/2

Thank you

回答 (1)

2013-12-01 1:31 am
✔ 最佳答案
Find the limit as x tends to negativeinfinity
(Square root of (4x^(2) + 1) ) / (4x+1)
I get 1/2, but my textbook ans is -1/2
Thank you
Sol
lim(x->-∞)_√(4x^2+1)/(4x+1)
=lim(y->∞)_√(4y^2+1)/(-4y+1)
=lim(y->∞)_√(4+1/y^2)/(-4+1/y)
=√4/(─4)
=-1/2




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