What is a Power Series?
Charles AnctilYou can thing of a power series as a polynomial function of infinite degree since it looks like this:
I hope that this was sufficient.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- Write #(9x^2+26x+20)/((1+x)(2+x)^2)# as partial fraction, then expand as binomials up to and including #x^3#. Show the expansion is roughly #5-(7x)/2+Bx^2+Cx^3#?
- How can you find the taylor expansion of #f(x) =sinx# about x=pi/6?
- How do you find the third degree Taylor Polynomial of #f(x)=ln(x^2)# at x=1?
- How do you find the first terms of the taylor series #f(x)=1/sqrt(x)# centered at #x=4#?
- How do you find the Taylor expansion of #e^(-1/x)#?
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