- #1
Melawrghk
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Homework Statement
1. limx->-inf (sqrt(x2+6x-1) + x)
2. Let g(x) = x10/9, find limh->0 g((209+h) - g(209))/h
Homework Equations
None that I know of.
The Attempt at a Solution
1. Well, first I put the -infinty in and I think it's an indetermination because it's inf-inf. So I decided to rationalize the equation and got:
6x-1
------------
sqrt(x2+6x-1) -x)
I figured the limit of the denominator has to be +infinity, limit of the top is -infinity, which would result in getting a -infinity. But the answer says it's -3.
2. I substituted and got this:
(209+h)10/9 - 209
-----------------------
h
Which really gets me nowhere because it is still unclear at to what to do with the first part of the numerator. I'm only allowed to solve this with regular limit rules, nothign fancy...