Calculating Limits Using Algebra

Some Trigonometric Limits

Limit as x->0 of sin(x)/x is 1. Limit as x->0 of (cosx - 1)/x is 0.

• 18.01 Single Variable Calculus, Fall 2005
  Prof. Jason Starr

Course Material Related to This Topic:

• Read lecture notes, section 3 on pages 2–3

Limits and Continuity

Ten questions which involve calculating one- and two-sided limits, identifying points of discontinuity, and making piecewise defined functions continuous and differentiable.

• 18.01 Single Variable Calculus, Fall 2006
  Prof. David Jerison

Course Material Related to This Topic:

• Complete exam problems 1D–1 on page 3 to problems 1D–10 on page 4
• Check solution to exam problems on pages 7–8

Evaluating Derivatives and Limits

Four-part question involving the evaluation of three derivatives and a limit.

• 18.01 Single Variable Calculus, Fall 2006
  Prof. David Jerison

Course Material Related to This Topic:

• Complete exam problem 1 on page 1
• Check solution to exam problem 1 on page 1

Evaluating Limits

• 18.01 Single Variable Calculus, Fall 2006
  Prof. David Jerison

Course Material Related to This Topic:

Finding the limits of two expressions.

• Complete exam problem 6 on page 1
• Check solution to exam problem 6 on page 1

Three limits involving trigonometric, logarithmic, and exponential functions.

• Complete exam problem 15 on page 2
• Check solution to exam problem 15 on page 1