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let f'(x) =e^x +x and let H(x) be the equation of the tangent line to f(x) at x=a. If H(x) is used to produce an

let f'(x) =e^x +x and let H(x) be the equation of the tangent line to f(x) at x=a. If H(x) is used to produce an estimate for f(a+0.1), then which of the statement is true? and explain.

a. H(a+0,1) > f(a+0.1) for all values of a.

b. H(a+0.1) < f(a+0.1) for all values of a.

c. H(a+0.1) > f(a+0.1) for some values of a and H(a+0.1)< f(a+0.1) for other values of a.

d. H(a+0.1) =f(a+0.1) for at least one value of a

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