calculate limit of ((e^x-1)(cosx-1))/(log(1+x^3)

[dariosabino]

limit of ((e^x-1)(cosx-1))/(log(1+x^3) as x tends to zero. thanks

 

[stapel]

limit of ((e^x-1)(cosx-1))/(log(1+x^3) as x tends to zero. thanks

Does "e^x-1" mean "(e^x) - 1" or "e^(x - 1)"? Does "cosx-1" mean "cos(x) - 1", "cos(x - 1)", or "(cos(x))^(-1)"?

What have you tried? How far have you gotten? Where are you stuck?

Please be complete. Thank you!

 

[dariosabino]

Sorry

Sorry about that....

I´ve tried L'hospital rules...but its not the "smart way" to solve it, i guess

Limit of [(e^x)-1)(cos(x)-1)]/(log(1+x^3)

 

[stapel]

I´ve tried L'hospital rules...

That sounds reasonable. What were your steps? How far did you get? Where did things bog down?

Please be complete. Thank you!