{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

calculus chapter 1

# calculus chapter 1 - Chapter 1 Limits and Continuity 1.1...

This preview shows pages 1–2. Sign up to view the full content.

Chapter 1: Limits and Continuity 1.1 Examples of Velocity, Growth Rate, and Area -Average Velocity = Change of Position Amount of Time -Instantaneous Velocity= lim f(t+h) – f(t) h->0 h -Average Rate of Growth= Change in Growth = slope of line joining the points of Time the graph -instantaneous Growth: measure average rates of change over shorter times and a tangent line is drawn and the slope of that line is found 1.2 Limits of Functions Limit: If f(x) is defined for all x near a, except possibly at a itself, an if we can ensure that f(x) is as close as we want to L by taking x close enough to a, but not equal to a, we say that the function f approaches the limit L as x approaches a Lim f(x) = L x->a -left limit: if f(x) is defined on some interval (b,a) extending to the left of x=a, and if we can ensure that f(x) is as close as we want to L by taking x to the left of a and close enough to a, then we say f(x) has left limit L at x=a -right limit: if f(x) is defined on some interval (a,b) extending to the right of x=a, and if we can ensure that f(x) is as close as we want to L by taking x to the right of a and close enough to a, then we say f(x) has right limit L at x=a.

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.

{[ snackBarMessage ]}

### Page1 / 3

calculus chapter 1 - Chapter 1 Limits and Continuity 1.1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online