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3 Multiple choice questions

1. Suppose two functions f(x) and g(x) are differentiable around a and g'(x) does not equal zero, Then iff trying to find the limit as x approaches a of f(x)/g(x) and the limit of f(x) and g(x) both equal zero, or both equal infinity, then the limits of indeterminate form can be evaluated by taking the derivative of both f(x) and g(x).
2. How fast f(x) is increasing or decreasing at the point x = a
3. If the limit as h approaches zero of [f(a+h) - f(a)] / h exists, then the limit is differentiable at x=a. Notation: f'(a)

2 True/False questions

1. Definition of ContinuityIf the limit as h approaches zero of [f(a+h) - f(a)] / h exists, then the limit is differentiable at x=a. Notation: f'(a)

2. Average Rate of ChangeHow fast f(x) is increasing or decreasing at the point x = a