Latest Questions & Answers

Q: Show by means of an example that limx → a [f

Show by means of an example that limx → a [f(x)g(x)] may exist even though neither limx → a f(x) nor limx → a g(x) exists.

Q: Show by means of an example that limx→a [f

Show by means of an example that limx→a [f(x) = g(x)] may exist even though neither limx→ a f(x) nor limx → a g(x) exists.

Q: If / prove that limx→0 f

If prove that limx→0 f(x) = 0.

Q: If / f(x) x2 = 5, find the

If / f(x) x2 = 5, find the following limits.

Q: If / f(x) – 8/x - 1

If / f(x) – 8/x - 1 = 10, find / f(x).

Q: If r is a rational function, use Exercise 57 to show

If r is a rational function, use Exercise 57 to show that limx→a r(x) = r(a) for every number a in the domain of r.

Q: If p is a polynomial, show that lim x→a

If p is a polynomial, show that lim x→a p(x) = p(a).

Q: In the theory of relativity, the Lorentz contraction formula

In the theory of relativity, the Lorentz contraction formula expresses the length L of an object as a function of its velocity v with respect to an observer, where L0 is the length of the object at...

Q: Sketch the graph of the function and use it to determine the

Sketch the graph of the function and use it to determine the values of a for which limx → a f(x) exists.

Q: If f(x) = [[x]] + [[2x

If f(x) = [[x]] + [[2x]], show that limx→2 f(x) exists but is not equal to f(2).