Continuous problems


Assignment:

Q1. Use the definition of  f(x)→∞ as x →∞   to show that f(x) = x + 2 →∞ as x →∞

Q2. (a)  Show that  f(x) = 3/x + 2   tends to ∞ as x → –2+   .  
   (b)  Show that  f(x) =  1/ 4 - x  tends to ∞ as x → 4–

Q3. Let  f(x) =  {.4 when x 5
                        { 0 when x > 5

Show that  f is not continuous at x = 5.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Continuous problems
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