i'm not sure how to finish this question
f(x) = 8e^x + e^6x
Use a Maclaurin series below to obtain the Maclaurin series for the given function.
e^x = ∑ [n=0, to ∞] (x^n)/n!
i got to 8e^x = 8 ∑ [n=0, to ∞] (x^n)/n!
and e^6x = ∑ [n=0, to ∞] (6^n*x^n)/n!
now i add them? how do i do that?
f(x) = 8e^x + e^6x
Use a Maclaurin series below to obtain the Maclaurin series for the given function.
e^x = ∑ [n=0, to ∞] (x^n)/n!
i got to 8e^x = 8 ∑ [n=0, to ∞] (x^n)/n!
and e^6x = ∑ [n=0, to ∞] (6^n*x^n)/n!
now i add them? how do i do that?
-
[8(xⁿ) / n!] + [(6ⁿ xⁿ) / n!]
[(8/n!) + (6ⁿ / n!)]xⁿ
(8 + 6ⁿ) xⁿ / n!
That darn algebra gets ya every time, huh?
[(8/n!) + (6ⁿ / n!)]xⁿ
(8 + 6ⁿ) xⁿ / n!
That darn algebra gets ya every time, huh?