METU NCC Mat 120 Spring 2009 Midterm 1

# METU NCC Mat 120 Spring 2009 Midterm 1 - Dept/Sec Time...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Dept./Sec. Time Duration Signature : : : : : : Last Name Name Student No M E T U Northern Cyprus Campus Math 120 Calculus for functions of several variables I. Exam 23.03.2009 17: 40 120 minutes 7 QUESTIONS ON 7 PAGES TOTAL 100 POINTS 1 2 3 4 5 6 7 Q1 (16=4+4+4+4 pts.) Determine whether the following sequences converge or diverge, and find their limits if they converge. Explain your answers. (a) a n = √ n 2 + 1- n (b) b n = ln(2 n ) ln(3 n ) (c) c n = (- 1) n n n + 1 (d) d n = sin( √ n ) n Q2 (15=5+5+5 pts.) Determine whether the following series converge or diverge. Explain your answers. (a) ∞ ∑ n =1 sin(2 n ) n 2 + 2 n (b) ∞ ∑ n =1 cos( nπ ) n (c) ∞ ∑ n =1 sin ( 1 n ) n . Q3 (14=7+7 pts.) Computing the N-th partial sum s n = N ∑ n =1 a n of the following series, find their exact values ∞ ∑ n =1 a n if they converge. (a) ∞ ∑ n =1 parenleftbigg sin parenleftBig nπ 2 parenrightBig- sin parenleftbigg ( n + 1) π 2 parenrightbiggparenrightbigg (b) ∞ ∑ n =1 parenleftbigg...
View Full Document

{[ snackBarMessage ]}

### Page1 / 7

METU NCC Mat 120 Spring 2009 Midterm 1 - Dept/Sec Time...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online