Question: In problems 1-5 determine whether the function is continuous at the given point c. If the function is not continuous, determine whether the discontinuity is

In problems 1-5 determine whether the function is continuous at the given point c. If the function is not continuous, determine whether the discontinuity is removable or nonremovable.
1. f(x) = sin x; c = 0
2. f(x) = x2 - 100/x - 10; c = 10
3. f(x) = sin x/x; c = 0
4. f(x) = cos x /x; c = 0
5.
In problems 1-5 determine whether the function is continuous at

sin x x 0 x=0 g(x)--, 0,

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