Find a limit

[peng531]

Hello, could someone please solve the following problem with steps for me? I know that the answer is 1 but I need to show it how I get it and I don’t know how because this topic is pretty new for me. thank you in advance.

lim ((x^2-1)/(x^2+2))^((2x^2+3x-1)/(x+1))
x->+∞

 

[tkhunny]

Hello, could someone please solve the following problem with steps for me? I know that the answer is 1 but I need to show it how I get it and I don’t know how because this topic is pretty new for me. thank you in advance.

lim ((x^2-1)/(x^2+2))^((2x^2+3x-1)/(x+1))
x->+∞

1) Are you SURE you mean "^" in the middle, there, and not "*"?

2) Have you considered introducing a logarithm?

3) Have you considered factoring where possible?

4) What do you know about Rational expression and the comparative degrees of numerator and denominator?

 

[mmm4444bot]

… please solve the following problem with steps for me …

We do not provide such service. You need to read the forum's guidelines (aka: Read Before Posting announcement). You may start with this summary. Thank you.

 

[vaki7]

I also need help finding the limit

I've been solving this problem and got to the point where I need to find and I don't know how. I don't


need the exact answer, already got it with a calculator. What I need is a hint for solving it. I would be very thankful if I get a little help with that.