The way you post this makes it seem as though you expect to be given the answer.
I truly hope not, because that is not the way we work.
Please tell us what you can do towards working this for yourself.
Tell us what it is that you do understand. Then ask for help starting from there.
Do you not know any of the "principles of limits"?
Just about any textbook, after it introduces the definition of limits, quickly gives: x→alim(f(x)+g(x))=x→alimf(x)+x→alimg(x) x→alim(f(x)−g(x))=x→alimf(x)−x→alimg(x) x→alim(f(x)g(x))=(x→alimf(x))(x→alimg(x)) x→alimg(x)f(x)=limx→ag(x)limx→af(x)
provided x→alimg(x)=0
Those very easily give you the solution to this problem.
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.