Math 151 Week in Review Sections 2.5-2.7
- Left and right limits and continuity; transparency or maplets will be shown.
- Determine
whether the function
is continuous at x=2. - Find
the value of c which makes the function
- Show
that there is a root of the equation
in the interval
[2, 3].
- Compute
.
- Compute
.
- Compute
.
- Find
the horizontal asymptotes of
.
- Use
the limit definition to find the slope and equation of the line tangent to
the curve
at the point
where x=3.
- Use the limit definition to find the slope and equation of the line tangent to the
curve 
at the point where x=2.
- Given
the position of an object in the plane is r(t) = (2t + 3) i + (
) j find:
a) the average velocity from t=1 to t=3.
b) the
instantaneous velocity at t = 3.