Taylor Polynomial Formula

Question

Question 7 (Taylor Polynomial Expansion): Which of the following equations correctly expresses the Taylor polynomial of degree $$n$$ for a function $$f(x)$$ about $$x = a$$? (Do not use a calculator)

Accepted Answer

$$P_n(x) = f(a) + f'(a)(x - a) + \frac{f''(a)}{2!}(x - a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x - a)^n$$

Answer

$$P_n(x) = f(a) + f'(a)x + \frac{f''(a)}{2!}x^2 + \cdots + \frac{f^{(n)}(a)}{n!}x^n$$

Answer

$$P_n(x) = f(x) + f'(x)(x - a) + \frac{f''(x)}{2!}(x - a)^2 + \cdots + \frac{f^{(n)}(x)}{n!}(x - a)^n$$

Answer

$$P_n(x) = f(a) + f'(a)(x - a) + \frac{f''(a)}{2}(x - a)^2 + \cdots + \frac{f^{(n)}(a)}{n}(x - a)^n$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	aryanahou	2	2	0m 30s	170
#2	qwaser028	2	2	0m 56s	144
#3	shubhra638	2	2	0m 57s	143
#4	busemagngr	1	1	0m 00s	100
#5	lang.bui	1	1	0m 00s	100
#6	davidkys0909	2	4	1m 23s	97
#7	dltmdwn071124	1	1	0m 23s	77
#8	chanminpark1105	1	1	0m 26s	74
#9	chldudghks0517	1	1	0m 39s	61
#10	donggle061218	2	4	2m 22s	38

Taylor Polynomial Formula

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