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
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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
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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:
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
Course Material Related to This Topic:
Finding the limits of two expressions.
Three limits involving trigonometric, logarithmic, and exponential functions.