Question 2. If
lim f(x)-2 = 2
then what is lim f(x)? Explain your deduction carefully.
(a) Find an example to illustrate the fact that it is possible for lim [f(x)+g(x)]to exist
even though neither lim f(x) nor lim (x) exists.
(b) Find an example to illustrate the fact that it is possible for lim[f(x)g(x)] to exist
even though neither lim f(x) nor lim 7(x) exists.
Question 7. Consider the function
if x is rational
(0, if X is trrational
Prove that lim f(x) = 0 using the c, 8 definition of a limit
Question 11. Prove that
Use the c, 8 definition of a limit
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