What is taylor (x-4)^n,4 ?

The answer to taylor (x-4)^n,4 is \ldots

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taylor (x-4)^n,4

taylor

(x - 4)^{n}, 4

\dots

Solution steps

Apply the Taylor Formula

= 0 + \frac{\frac{d}{d x} ( ( x - 4 ) ^{n} ) ( 4 )}{1 !} (x - 4) + \frac{\frac{d ^{2}}{d x ^{2}} ( ( x - 4 ) ^{n} ) ( 4 )}{2 !} (x - 4)^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( ( x - 4 ) ^{n} ) ( 4 )}{3 !} (x - 4)^{3} + \dots

Evaluate Derivatives

= 0 + \frac{0}{1 !} (x - 4) + \frac{0}{2 !} (x - 4)^{2} + \frac{0}{3 !} (x - 4)^{3} + \frac{0}{4 !} (x - 4)^{4} + \frac{0}{5 !} (x - 4)^{5} + \frac{0}{6 !} (x - 4)^{6} + \frac{0}{7 !} (x - 4)^{7} + \frac{0}{8 !} (x - 4)^{8} + \frac{0}{9 !} (x - 4)^{9} + \frac{0}{10 !} (x - 4)^{10} + \dots

Refine

= \dots

\int \frac{x}{x ^{2} + 25} d x

y = cos (x), y = 1 - cos (x), 0 \leq x \leq π

\int \frac{24}{1 + 25 r ^{2}} d r

2 e^{3 t}

8 (\frac{1}{s ^{5}})