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kennyboii kennyboii
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3 years ago
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.
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#1
Educator
3 years ago
Hi kennyboii,

Here's the answer for question #1

Let me know what you think before I start #2



I used the following video to obtain the formula:
kennyboii Author
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#2
3 years ago
I done it completley wrong i think.
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#3
Educator
3 years ago
What do you think of my solution? Does it make sense?
kennyboii Author
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#4
3 years ago Edited: 3 years ago, kennyboii
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
Post Merge: 3 years ago
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Anonymous
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#5
A year ago
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
wrote...
#6
Educator
A year ago
Quote from: Nikhil Raj1 (A year ago)
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


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#7
A year ago
Hope this helps
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