Exercise 9 Consider the function f defined over the interval I =] - 00; -2] U [2; +∞ [ by f(x) = 4 1. Show that over =] - 00; -2[U]2; +∞0[, f'(x) = x²√x²-4 2. Show that the two straight lines (d): y = 1 and (d'): y = -1 are asymptotes to (C) the representative curve of f at +∞o and -o respectively. 3. Calculate lim x-2 4. Study the differentiability of the function f at the point of abscissa x = 2. Exercise 10 √x²-4 X​

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