The function f(x) = 10cos(314x - 0.628) + 5, shown graphically below, is periodi

Question

The function f(x) = 10cos(314x - 0.628) + 5, shown graphically below, is periodic. Determine the average value of f(x). Determine the rms (or effective) value of f(x).

Explanation / Answer

follow this use lim as x -> 1 f(x) " cos' when you want to check cont. we check using limits " " lim x-> 1 2(x^2+2x-3)/(x-1) " -> " lim x->1 2(x + 3)(x-1)/(x-1) -> " lim x->1 2(x+3) " the answer of the limit is 8 .. then the value of f(1) that makes f(x) cont. at x = 1 is 8 " when the lim of f(x) at a point is an finite number that means the the function is cont. at that point "

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