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Show that limx→39-x2x-3=-6{“version”:”1.1″,”math”:”limx→39-x2x-3=-6″} analytically in two ways.  In other words, show the limit is true without graphing or making a table.

Find the derivative of y=tan-1(ex){“version”:”1.1″,”math”:”y=tan-1(ex)”}.

Given the function f(x)=x2x2+4{“version”:”1.1″,”math”:”f(x)=x2x2+4″}, select all of the statements that are true.

Select all of the functions such that  limx→∞f(x)=∞{“version”:”1.1″,”math”:”limx→∞f(x)=∞”}.

Given the function f(x)=112×4-2×2+15{“version”:”1.1″,”math”:”f(x)=112×4-2×2+15″}, select all of the following statements that are true:

Find the indefinite integral:  ∫x2x3+7dx{“version”:”1.1″,”math”:”∫x2x3+7dx”}

Why isn’t the function f(x)=-x-4{“version”:”1.1″,”math”:”f(x)=-x-4″} not differentiable for x=4{“version”:”1.1″,”math”:”x=4″}?    Be specific.

A point moves along the curve y=2×2+1{“version”:”1.1″,”math”:”y=2×2+1″} in such a way that the y value is decreasing at the rate of 2 units per second.  At what rate is x changing when x=32{“version”:”1.1″,”math”:”x=32″}.

Find the indefinite integral:   ∫4×7-5×4+3x7dx{“version”:”1.1″,”math”:”∫4×7-5×4+3x7dx”}

Select the conditions for a function to be continuous at a point.