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Functions and limits

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1. Express the distance between the point (3, 0) and the point P (x, y) of the parabola y = x2 as a function of x.

2. Find a function f(x) = xk and a function g such that f(g(x)) = h(x) = 3x + x2

3. Find the trigonometric limit:
lim x-tan 2x/sin 2
x → 0

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Solution Summary

This shows how to find distance between a point and a parabola, manipulate functions, and find the trigonometric limit.

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