What is a limit in calculus?
A limit is the value a function approaches as its input gets close to a particular number. The function does not have to equal that value at the point itself.
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When does a two-sided limit not exist?
A two-sided limit does not exist when the values approaching from the left and right do not settle on the same number. A jump is a clear example.
What is a derivative?
A derivative tells you how quickly a function is changing at one point. On a graph, it is the slope of the tangent line there.
What is a definite integral?
A definite integral adds up tiny changes over an interval. When a graph stays above the x-axis, that total is the area beneath the curve.
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