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Q: Suppose that for all xE(0,5), f(x) is between 1+x and 3+sin((pi)(x)). Find lim x->2 f(x). Is this question related to the in...Asked by Joshua
Q: Suppose that for all xE(0,5), f(x) is between 1+x and 3+sin((pi)(x)). Find lim x->2 f(x).
Is this question related to the intermediate value theorem? It is confusing me, can anyone help out? I am not certain of what xE(0,5) is defining, is that a set of x values or am I mistaken?
Is this question related to the intermediate value theorem? It is confusing me, can anyone help out? I am not certain of what xE(0,5) is defining, is that a set of x values or am I mistaken?
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Answered by
Steve
clearly (0,5) is is a set of x values, since x is in that interval. I'm sure it is just to restrict us to a single period of 2π.
1+x <= f(x) <= 3+sin πx
as x->2,
1+2 <= f(x) <= 3
1+x <= f(x) <= 3+sin πx
as x->2,
1+2 <= f(x) <= 3
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