Sequences & Series
"All The Mathematical Methods I Learned In My University Math Degree Became Obsolete In My Lifetime" - Keith Devlin
Sequences
& Series: Enter an expression for a sequence
a_N. Then it plots a_0 to a_n, as well as the appropriate partial
sums. You can use a as an adjustable parameter. If you
suspect your series is the power series of a function, then plot f(a)
and see if your partial sum converges to this value. (https://www.desmos.com/calculator/xopgeusktn)
Sequence and Series: Type in the value of a_n, and a maximum value for n, N. Then the following will return as ordered pairs (a_k, P_k) where P_k is the partial sum a_0+...+a_k:
Taylor Expansion: The slider a controls the number of terms in the Taylor expansion. Compare graphs of sin(x), cos(x) and ex to Taylor expansions of various degrees. (Link https://www.desmos.com/calculator/eqtiquubzh)
Taylor Polynomials: Enter in f(x), the center of the expansion a, and the degree of the polynomial k:
Sequence and Series: Type in the value of a_n, and a maximum value for n, N. Then the following will return as ordered pairs (a_k, P_k) where P_k is the partial sum a_0+...+a_k:
Taylor Expansion: The slider a controls the number of terms in the Taylor expansion. Compare graphs of sin(x), cos(x) and ex to Taylor expansions of various degrees. (Link https://www.desmos.com/calculator/eqtiquubzh)
Taylor Polynomials: Enter in f(x), the center of the expansion a, and the degree of the polynomial k: