Difference between revisions of "009C Sample Final 2, Problem 8"

Revision as of 11:25, 18 February 2017

Find $n$ such that the Maclaurin polynomial of degree $n$ of $f(x)=\cos(x)$ approximates $\cos {\frac {\pi }{3}}$ within 0.0001 of the actual value.

Solution:

(a)

Step 2:

(b)

Step 2:

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute
+<span class="exam">Find <math>n</math> such that the Maclaurin polynomial of degree <math>n</math> of <math>f(x)=\cos(x)</math> approximates <math>\cos \frac{\pi}{3}</math> within 0.0001 of the actual value.
-::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
-::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"