Difference between revisions of "009C Sample Midterm 2, Problem 1"

Revision as of 09:30, 5 February 2017

Evaluate:

a)

\lim _{n\rightarrow \infty }{\frac {1}{{\big (}{\frac {n-4}{n}}{\big )}^{n}}}

b)

\sum _{n=1}^{\infty }{\frac {1}{2}}{\bigg (}{\frac {1}{4}}{\bigg )}^{n-1}

Solution:

(a)

Step 1:

Step 2:

(b)

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
-<span class="exam">
+<span class="exam">Evaluate:
-::<span class="exam">a)
+::<span class="exam">a) <math>\lim _{n\rightarrow \infty} \frac{1}{\big(\frac{n-4}{n}\big)^n}</math>
-::<span class="exam">b)
+::<span class="exam">b) <math>\sum_{n=1}^\infty \frac{1}{2} \bigg(\frac{1}{4}\bigg)^{n-1} </math>