SOLUTION: Limits to infinity I'm not sure if this is under the right label or if calculus can be answered on the site but I'm looking for some help with calculating limits to infinity:

Algebra ->  Linear-equations -> SOLUTION: Limits to infinity I'm not sure if this is under the right label or if calculus can be answered on the site but I'm looking for some help with calculating limits to infinity:       Log On


   

Question 938194: Limits to infinity
I'm not sure if this is under the right label or if calculus can be answered on the site but I'm looking for some help with calculating limits to infinity:
calculate the following limits, showing all working (steps would be appreciated)
a) +sqrt+%28+4x%5E2+-3+%29+%2F+%28+2x+%2B+3%29+
lim
x --> infinity
b) +sqrt+%28+4x%5E2+-3+%29+%2F+%28+2x+%2B+3%29+
lim
x --> -infinity
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do part a) to get you started.





Factor out x%5E2 (the radicand in the numerator)


Break up the root





Multiply top and bottom by 1%2Fx





Use the idea that (p is any positive real number)











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Therefore,
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