# Question 2. If lim f(x)-2 = 2 x+3 then what is lim f(x)? Explain...

## Transcribed Text

Question 2. If lim f(x)-2 = 2 x+3 then what is lim f(x)? Explain your deduction carefully. Question 3. (a) Find an example to illustrate the fact that it is possible for lim [f(x)+g(x)]to exist x->a even though neither lim f(x) nor lim (x) exists. x->a x->a (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 f(x) = if x is rational (0, if X is trrational Prove that lim f(x) = 0 using the c, 8 definition of a limit x-+0 Question 11. Prove that 5 lim = 3. (x+1)3 Use the c, 8 definition of a limit

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