limits integral

[luminousxx0]

since f is continuous on an open interval covering a

limx→∞(x∫xasin(f(t))dt∫xaf(t)dt)limx→∞(x∫axsin(f(t))dt∫axf(t)dt)
calculate the limit

 

[Steven G]

Yes, calculate the limit. What did you conclude the limit is? Where are you stuck? What have you tried? On this site we help students with their problems rather than solve it for them--after all what kind of help would we be given if we solved the problems for students.

Show us your work so we can help you. Remember no work = no help.

 

[luminousxx0]

I couldn't bring more

 

[Steven G]

It looks like to me that you are trying to use L'Hopitals Rule which is a good idea. I think that you have a few mistakes in your work. The derivative of a constant like a is 0, not 1!. In the numerator you have a product ( x times an integral) but you are not using the product rule. Please try again and post back. You'll get it in the end!