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Limit of a function problem lim x x x as x infinity


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1.You need to create a 3 piece, piecewise defined function that includes a point of discontinuity and a jump discontinuity. ...

a jump discontinuity. You then need to write and find the limit at that point of discontinuity and jump discontinuity. You also have to find the limit at a point on your piecewise defined function that is continuous. Each limit needs to be justified using the graph and the limit notation. Your piecewise defined function needs to have a beginning and end. That means that the domain cannot go to infinity. You will state the domain and the range using interval notation.
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3.I need help with a problem about derivatives. It states: Suppose f is a function with the following properties: f is differentiable ...

properties: f is differentiable everywhere f(x+y)=f(x)f(y) f(0) doesn't equal 0 f'(0) = 1 Show that f(0)=1 Show that f(x) > 0 Use the limit definition of a derivative to show that f'(x) = f(x) for all values of x
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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