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ihatemath33
find an example of two distinct values a and b such that the limit of f(x) as x approaches a equals the limit of f(x) as x approaches b
Let \(f(x)=x^2\). Then\[\lim_{x\to-1}f(x)=\lim_{x\to1}f(x)=1.\]
Think of a trigonometric function where a 0 could be in the denominator. Trigonometry is a good place to look since many of the functions are periodic.