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The approximation e˜ 1+1+(1/2)+(1/6)= (8/3) is obtained from the first four terms of the Maclaurin
expansion of e^x , x = 1. From the Taylor Remainder Theorem, which of the following is the guaranteed
maximum absolute value of the error, |Rn|, of this approximation (you may take it as known that e = 3).

a. (1/24)
b. (1/8)
c. (1/6)
d. 0
e. infinity
f. 1

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Home >All Categories > Science & Mathematics >Mathematics >Open Questioni want to remember, if you have a (abc) right angled triangle at b, and a line drawn from b cutting the hypotenuse at d, what are the laws to find the sides in this triangle according to euclid theorem ?
like that the law of pythagoras is ac^2=ab^2+bc^2, so what are euclid's laws ?Answer Question

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Sorry, I could not read the content fromt this page.

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Sorry, I could not read the content fromt this page.

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Pretty sure f(5) = f(7) in this case. I am not going to do the arithmetic. You can do that.

Rolle's theorem basicly says that if the two end points are equal. There must be a point c between the two end points that have a tangent slope of 0. It's pretty intuitive if you think about it. If the two points have the same y coordinate, than it's either a straight line between them or a curve that goes up then down or etc. There must be a 0 tangent slope somehwere.

To get that point, you set the derivative of f(x) to 0 and solve for x, which is would be the point c.

df/dx = -48 + 8x = 0
x=48/8.... c = 48/8

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