Use the following information to complete parts a. and b. below. f(x) = (1 + x)^{-2/5}; approximate 1.11^{-2/5} a. Find the first four nonzero terms of the Taylor series centered at 0 for the given function. The first term is . (Simplify your answer. Use integers or fractions for any numbers in the expression.)
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Use the following information to complete parts a. and b. below. f(x) = ∕√(1+x); approximate ∕√(1.16) a. Find the first four nonzero terms of the Taylor series centered at 0 for the given function. The first term is . The second term is . The third term is . The fourth term is . b. Use the first four terms of the series to approximate the given quantity. ∕√(1.16) ≈ (Round to three decimal places as needed.)
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Find the Taylor series of $f$ about $a$, and write out the first four terms of the series. $$ f(x)=(1+x)^{-8 / 5} ; a=0 $$
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