Use l'Hopital's rule to find lim x^2/e^x x-> infinity

Use l'Hopital's rule to find

lim x^2/e^x
x-> infinity

Use the right sum with 4 rectangles to approximate

Integral of 2 top x^3dx
0 bottom

Expert Solution

L'Hospital rule

If OR

where a can be any real number, infinity or negative infinity. then

where f’(x) and g’(x) are differentiation of f(x) and g(x) respectively

WE HAVE TO USE DEFINITION OF DEFINITE INTEGRAL TO COMPUTE RN

Given a function f(x) that is continuous on the interval [a,b] we divide the interval into n subintervals of equal width, Δx, and from each interval choose a point, . Then the definite integral of f(x)from a to b is

where and for right sum

milcah answered 2 years ago

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