Maclaurin series is {eq}\displaystyle \sum_{x=0}^{\infty} \frac{f^n(0)}{n!}(x)^n {/eq} Answer and Explanation:1 Given {eq}\displaystyle f(x)=\sin (3x) {/eq} {eq}\displaystyle f(0) =\sin (3(0)) \Rightarrow 0 \\ f'(x) = 3\cos (3x) \\ f'(...
Taylor and Maclaurin Series Derivative of Power Series Series Expansion Lesson Summary Register to view this lesson Are you a student or a teacher? I am a student I am a teacher Recommended Lessons and Courses for You Related Lessons Related Courses Taylor Series for sin(x): How-to & ...
Series ExercisesBack More Example 1 Let f(x) = sin(x). By taking derivatives, find a function g(x) of the form g(x) = a + bx + cx2 that has the same value, slope, and second derivative as f when x = 0. Graph f and g on the same axes. Show Answer Example 2 Find ...
Find the Maclaurin series of the function g(x) = sin (x2) using the series expansion of sin x+hatis,sinx=∑(-1)^n(x^(2n+1))/((2n+1)!) 相关知识点: 试题来源: 解析 ∑_(n=0)^∞(-1)^n(x^(4n+2))/((2n+1)!)
Answer to: Using the Maclaurin series for f (x) = sin x, find the Maclaurin series for g(x) = x sin 2x. By signing up, you'll get thousands of...
taylorsin(x) taylorx3+2x+1,3 Description Find the Taylor/Maclaurin series representation of functions step-by-step Related Symbolab blog posts Advanced Math Solutions – Ordinary Differential Equations Calculator Differential equations contain derivatives, solving the equation involves integration (to get...
Finding the MacLaurin Series of a function I have to find the Maclaurin series of: (1) f(x)=cos(x)+x, (2) g(x)= cos(x^2)+x^2 (3) h(x)=x*sin(2x). I'm stuck at the first one, I kind of understand the concept of how P(0)=f(0)+f'(0)x+(f''(0)x^2)/2+....
1) maclaurin series 马克劳林级数1. A useful method for expandsion of a kind of functions in Maclaurin series is presented. 给出了一类函数展开成马克劳林级数的一个实用方法。2. Basing on the compellable convergence of the limits to approximate,we obtain Maclaurin series of sin x and cos x....
求【图片】的Maclaurin展开式到【图片】应使用的语句是A.Series[Sin[x]^2,{x,10}]B.Series[Sin^2[x],{x,0,10}]C.Series[Sin[x]^2,{x,0,10}]D.Series[Sin[x]^2,{x,1,10}]的答案是什么.用刷刷题APP,拍照搜索答疑.刷刷题(shuashuati.com)是专业的大学职业搜题找答案,刷题练习的
What is the Maclaurin series for {eq}\operatorname { tan } ^ { - 1 } ( x^3 ) {/eq} . Maclaurin Series: The Taylor series is a series expansion of a function at a point. If we consider a function {eq}\displaystyle f(x) {/eq} about a point...