aptitude

aptitude - UCSD ECE153 Prof Young-Han Kim Handout#4 Tuesday...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: UCSD ECE153 Prof. Young-Han Kim Handout #4 Tuesday, March 29, 2011 ECE153 Aptitude Test Name (Optional): Simplify the following equations as much as you can. Throughout r ∈ (0, 1). ∞ rn = 1. n=0 ∞ nrn = 2. n=0 ∞ 3. n=0 rn = n! 1 n nk r (1 − r)n−k = k 4. k=0 n 5. k k=0 ∞ 6. n=1 ∞ 7. n=1 nk r (1 − r)n−k = k 1 = n 1 = n2 2 1 1 − |x| dx = 8. −1 ∞ e−x dx = 9. 0 ∞ xe−x dx = 10. 0 ∞ ∞ e−y dydx = 11. 0 x 3 ∞ 2 e−x dx = 12. −∞ ∞ 2 xe−x dx = 13. −∞ 14. 1r r1 −1 = 15. lim x ln x = x→0 4 ...
View Full Document

This note was uploaded on 09/16/2011 for the course ECE ECE153 taught by Professor Younghankim during the Spring '11 term at UCSD.

Ask a homework question - tutors are online