Limited time offer 20% OFF StudySoup Subscription details

# Rutgers - Calculus 640 - Class Notes - Week 3

### Created by: Ishmam L Chowdhury Elite Notetaker

> > > > Rutgers - Calculus 640 - Class Notes - Week 3

Rutgers - Calculus 640 - Class Notes - Week 3

Join more than 18,000+ college students at Rutgers University who use StudySoup to get ahead
##### Description: These notes cover from Section 2.4 to Section 2.8
3 Pages 35 Views 28 Unlocks
• Better Grades Guarantee
• 24/7 Homework help
• Notes, Study Guides, Flashcards + More!

Unformatted text preview: Sec 2.4 Contudom 03/05/19 Ex- find ab so that fiscontinuat x>2.- - 3h - X if * > 2 f is Continuous if piecewise, f(x)-1(2). Because fois we need to consider the left/right limits Separately Need: a b So that fim ) - f() = f(2) X-2 im 16) - lim (36 ) lim im (2x2-1) (8) *- * 2(ay- 1 3 -2 <->24 Section 2.5 f(x) hos on indeterminate form of x=ciff of the form; & , , 0.00, 0,09, 09 Ex: Evolvate each lirit 2-3x-101 a) 512-25 Plugging in 5 gives 39 (x+2) x lim5 (x+5) ligos [***] 05 - ToPlugging x -9 din We'll mwply by The O = lim (x-1)(1843) - electron (Tx+3) - 89 +3 - 6 c) Harmony bet -] Mugging in gives most het en die wint z limony [] e coli ] LX+1 Plugging x -1 in gives - This is NOT an indeterminate for s , the valve becomes slase the Smolt positive number Close to - (close to 0) Note: lim. [*] DNE because -=(-1)(x-a) They are a home as a lot]Section 2.6 The Squeeze Theorem. Suppose for to that and in 9) = limhe "Then * f(x) -L (x) = f() sh(*) EL to evoluotel Ex:. Use Squeeze Theoreen the limit hay mo [x2 sin (4) f(x) = x2 sio We need to find 96), h(x). by bounding Stact pool of f(x) Build up to t odding/multiplying /etc other values Multiply by -32x2 siri Then we have By Squeeze Theorem lim x 2 sin ) = Note: - cos X 61 -1 < sin x 1 These are common bounds Theorem. used when applying Squeeze

Get Full Access to Rutgers - Class Notes - Week 3
×
Get Full Access to Rutgers - Class Notes - Week 3

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Already have an Account? Is already in use