Suppose f and g are differentiable functions on an open interval containing the number a, except possibly at a itself and that g'(x) # 0 for all x in the interval, except possibly at a. If f(x) f'(x) lim x-a g(x) f(x) is an indeterminate form and lim L or +o, then x→a g'(x) d lim dx f(x) lim x-a g(x) g(x) X-a Select one: а. False b. True

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A: Topic:- limits and calculus

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A: Given,

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A: We need to find f(x).

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A: This question is about differentiation expressed as limit of a function

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A: We have to check for the end points.

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A: A function f(x) is said to be continuous in the closed interval [a,b] if→ f is continuous on (a,b).→…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: