`y = sec^2(x)/(x^2 + 1)` Find the limit, if possible

Textbook Question

Chapter 3, 3.9 - Problem 20 - Calculus of a Single Variable (10th Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

gsarora17's profile pic

gsarora17 | (Level 2) Associate Educator

Posted on

`lim_(x->oo)sec^2(x/(x^2+1))`

`lim_(x->oo)sec^2(x)/(x^2(1+1/x^2))`

`lim_(x->oo)sec^2(1/(x(1+1/x^2)))`

plug in the value of x to evaluate the limit

`= sec^2(1/(oo(1+0)))`

`= sec^2(0)=`

`lim_(x->0)sec^2(x/(x^2+1))`

plug in the value of x=0

`= sec^2(0/(0+1))`

`= sec^2(0)=1`

We’ve answered 318,988 questions. We can answer yours, too.

Ask a question