Michelle M.

asked • 01/23/21

What is the limit of the square root of x^2 + 4x + 1 subtracted by x, as x approaches positive infinity?

Hello ! I've tried to solve for this problem, but I can't seem to find an answer wherein the limit exists. I would appreciate assistance with regards to determining what I did wrong for my solutions. Thank you in advance !

2 Answers By Expert Tutors

By:

Michelle M.

thank you so much !!
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01/23/21

Al P. answered • 01/23/21

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Michelle M.

Thank you ! But I think I misworded my post because the expression is supposed to be Lim x-->+∞ { ( √( x2 + 4x + 1) ) - x }. Will the same general steps apply ?
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01/23/21

Al P.

Steps are a little more complex. See tutor Tom K's answer --- multiplying by conjugate/conjugate is a standard procedure in that case, as he has shown.
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01/23/21

Michelle M.

Thank you!
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01/25/21

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