(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the degree 3 Taylor polynomial approximation to the function f(x)=5ln(sec(x)) about x=0.

2. Relevant equations

the taylor polynomial equation

3. The attempt at a solution

Here are my derivatives

f(x)=5ln(secx)

f'(x)=5tanx

f''(x)5sec^2(x)

f'''(x)=10sec^2(x)tanx

Please let me know if any of the above are wrong

When I try to plug in 0 for the x's above I end up with a whole lot of undefined answers because sec0=undefined. How can I get around this?

thanks

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# Homework Help: Taylor polynomials

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