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A: Solving the problem by finding the value at x tends to 2.
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D.3 Sketch a graph with the given characteristics.
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- What is the long term behavior of your hand drawn solution; that is, what is lim t-> infinity M(t) equal to?Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3) 1) using the definition: m=lim->a f(x)-f(a)/x-a 2)using the equation: m=lim->0 f(a+h)-f(a)/hIf f(x) is discontinuous at x=c, then limx→c- f(x) ≠ limx→c+ f(x) True or False?
- Consider g(x)=−7x3+7x2+9. a) limx→0−g(x)= b)limx→−1−g(x)= c)On what interval(s) is g(x) continuous?For f(x)=√7x+2, find f′(x) using the definition f′(x)=limh→0f(x+h)−f(x)/h. f′(x)= Using this, find the tangent line to the graph of y=√7x+2 at x=1. Enter all values as integers, or fractions in lowest terms. y=Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞ 6e−6x