Chapter 8: Infinite Sequences and Series
Section 8.5: Taylor Series
Obtain the Maclaurin series for e3 x2 by manipulating the series for ex.
Obtain the Maclaurin series for e3 x2
Write ⅇ3 x2, being sure to use the "exponential e".
Context Panel: Series≻Formal Power Series
ⅇ3 x2→formal series∑n=0∞3n⁢x2⁢nn!
Obtain the Maclauring series for xx
Write ⅇx, being sure to use the "exponential e".
In the series for ex, replace x with 3 x2
Expression palette: Evaluation template
Context Panel: Simplify≻Assuming Integer
xnn!x=a|f(x)x=3 x2 = 3⁢x2nn!→assuming integer3n⁢x2⁢nn!
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