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Title: Further Engineering Mathematics Post by: kennyboii on Dec 10, 2020 1. Use the Taylor series centred around a=0 to write the first four terms of the expansion of f(x) = 1/(1+x) and hence write its general formula.
2. A. Write down the first four terms of the Maclaurin expansion for f(x)=ex. B. Calculate the sum of the first four terms of the expansion of f(x) = ex, for x = 1. C. Compare your result with the value for e1 obtained from your calculator. Title: Re: Further Engineering Mathematics Post by: bio_man on Dec 10, 2020 Hi kennyboii (https://biology-forums.com/index.php?action=profile;u=966035),
Here's the answer for question #1 Let me know what you think before I start #2 (https://biology-forums.com/gallery/42/6_10_12_20_7_59_00.png) (https://biology-forums.com/index.php?action=gallery;sa=view&id=42263) I used the following video to obtain the formula: https://www.youtube.com/watch?v=F9rDhxOjbf0 Title: Re: Further Engineering Mathematics Post by: kennyboii on Dec 11, 2020 I done it completley wrong i think.
Title: Re: Further Engineering Mathematics Post by: bio_man on Dec 11, 2020 What do you think of my solution? Does it make sense?
Title: Re: Further Engineering Mathematics Post by: kennyboii on Dec 11, 2020 I guess it does but i don’t understand why”(x-a)^4” in 6/3!(1+x)^4 (x-a)^4 is to the power of 4 and not 3
Title: Re: Further Engineering Mathematics Post by: Nikhil Raj1 on Oct 20, 2022 Find The Taylor Series Expansion For f(x) = ln x, at x=5 and Sketch the graph of f(x) and its second and third order Taylor expansions
Title: Re: Further Engineering Mathematics Post by: bio_man on Oct 20, 2022 Find The Taylor Series Expansion For f(x) = ln x, at x=5 and Sketch the graph of f(x) and its second and third order Taylor expansions (https://biology-forums.com/gallery/45/6_20_10_22_9_07_05.png) (https://biology-forums.com/index.php?action=gallery;sa=view&id=45763) Title: Re: Further Engineering Mathematics Post by: anonymous661 on Oct 20, 2022 Hope this helps
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