4. Let f(x) = 2+x-2 I 2x e where 0 < x 2. (a) Find the...
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4. Let f(x) = √2+x-√2 I 2x e where 0 < x≤ 2. (a) Find the limit of f(x) when a tends to 0. (b) Show that it is not good to use the above expression to evaluate f(x) as 0 by using computer. (c) Show that 1 f(x) √2+x+√2 10-20 (d) Using MATLAB, compute the values of f(x) by using (1) and (2) for x = 10-5, 10-6,..., Show your result by using the command semilogx(x, y), where x is the vector storing all values of x, and y is the vector storing the corresponding values of f(x). (2) 4. Let f(x) = √2+x-√2 I 2x e where 0 < x≤ 2. (a) Find the limit of f(x) when a tends to 0. (b) Show that it is not good to use the above expression to evaluate f(x) as 0 by using computer. (c) Show that 1 f(x) √2+x+√2 10-20 (d) Using MATLAB, compute the values of f(x) by using (1) and (2) for x = 10-5, 10-6,..., Show your result by using the command semilogx(x, y), where x is the vector storing all values of x, and y is the vector storing the corresponding values of f(x). (2)
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