# Limits

Not what you're looking for? Search our solutions OR ask your own Custom question.

See attached...

Let f(x) be a function defined for x>=1, f(1)=1 and df/dx=1/(x^2+f(x)^2)

Prove that limf(x) exists and is less than 1+(pi/4)

https://brainmass.com/math/real-analysis/proof-limit-exists-estimated-29514

#### Solution Preview

See attachment

Let be a function defined for , and

Prove that exists and is less than

Proof. Since , we know that f(x) is an increasing function. So, when , . Now ...

#### Solution Summary

This shows how to prove that a limit exists and is less than a given value.

$2.49