Compute the necessary values/derivatives of at :
Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) at by
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Another way of doing this would be to solve for the coefficients in
by expanding the right hand side and matching up terms with the same power of .
<span>2/3 </span>×<span> (1/3 + 3 1/4)
= 2/3 (1/3 + 13/4)
= 2/3 (43/12)
= 43/18
= 2 7/18</span>
Answer:
Yes they are.
Because:
As said in the rules you have to keep the bases and add the exponents.