Power series expansions can also be very useful for calculating indeterminate forms.Just for fun, try to calculate the indeterminate formssin(x)limet – x1-and limx2using our power series representation of sin(x) and e".Σ(-1)"x²n+1(2n + 1)!x7+7!sin(x)= X--3!5!n=04x"= 1+x +n!n=0et+4!%3D..2!3!

Here, the objective is to find the indeterminate form of the limit using power series…

Power series expansions can also be very useful for calculating indeterminate forms. Just for fun, try to calculate the indeterminate forms sin(x) lim et and lim x→0 - x 1 x2 using our power series representation of sin(x) and e". sin(x) = > (-1)"x2n+1 (2n + 1)! x' +. 7! 3! 5! n=0 x2 = 1+ x + 2! x4 + 4! ... n! 3! + + ||

Power series expansions can also be very useful for calculating indeterminate forms. Just for fun, try to calculate the indeterminate forms sin(x) lim et and lim x→0 - x 1 x2 using our power series representation of sin(x) and e". sin(x) = > (-1)"x2n+1 (2n + 1)! x' +. 7! 3! 5! n=0 x2 = 1+ x + 2! x4 + 4! ... n! 3! + + ||

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

See similar textbooks