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cathy
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1. Homework Statement [/b]
Determine the Taylor series for the function below at x=0 by computing P 5 (x)
f(x)=cos(7x^2)
I used to taylor series for cosx and replaced it with 7x^2
so i used 1-49x^4/2! +2401x^8/4!... and so on.
That should be correct, my attempt below :(
1-(49x^4/2)+(2401x^8/24)-(117649x^12/720)+7^8x^16/40320
I even tried it by adding one more
7^10(x^18)/10!
Can someone tell me where I went wrong? It's nothing with the formatting because entering it like this into my homework showed a preview and it showed up like it should have :( what did I do wrong? Please advise. Thanks in advance.
I know we're not supposed to upload pictures of the answers, but I uploaded mines. If someone would look at it and see it its correct? IT's attached in the thumbnailhttps://www.physicsforums.com/attachments/68644
Determine the Taylor series for the function below at x=0 by computing P 5 (x)
f(x)=cos(7x^2)
Homework Equations
I used to taylor series for cosx and replaced it with 7x^2
so i used 1-49x^4/2! +2401x^8/4!... and so on.
That should be correct, my attempt below :(
The Attempt at a Solution
1-(49x^4/2)+(2401x^8/24)-(117649x^12/720)+7^8x^16/40320
I even tried it by adding one more
7^10(x^18)/10!
Can someone tell me where I went wrong? It's nothing with the formatting because entering it like this into my homework showed a preview and it showed up like it should have :( what did I do wrong? Please advise. Thanks in advance.
I know we're not supposed to upload pictures of the answers, but I uploaded mines. If someone would look at it and see it its correct? IT's attached in the thumbnailhttps://www.physicsforums.com/attachments/68644
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