# Compute the Limit: Question 4

Printable View

• September 24th 2011, 08:32 PM
sparky
Compute the Limit: Question 4
I'm very rusty with trigs and I don't know where to begin with the following question. What topics should I study in trigs to be competent in Calculus? And how do I begin answering this question?

$\text{Compute } \lim_{x \rightarrow 0 } \sqrt{1+cos^2(x)}$
• September 24th 2011, 08:45 PM
TylaYuhh
Re: Compute the Limit: Question 4
I would recommend looking up identities even though for this particular problem you will not need them (But later on they will help you simplify!). For this problem, you could just use direct substitution and receive Sqrt(2).
• September 25th 2011, 11:48 PM
sbhatnagar
Re: Compute the Limit: Question 4
That's quite easy actually.

$\lim_{x \to 0 }\sqrt{1+\cos^2(x)}=\sqrt{1+\cos^2(0)}=\sqrt{2}$