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Functions: L-Hopital's Rule

1) use l'Hopital's rule to show (1+r/k)^kà  e^r , kà  infinity 2) show that y(k)=(1+r/k)^k is an increasing function of k greater or equal to 1 3) let xi and yi are cash flows of two projects for i=0,1,2,….,n such that x0 summation from i=0 to i=n (yi). Let Px(d) and Py(d) denote the present values of these two projects when the discount factor is d. meaning, x0 + x1*d + x2*d^2 + ….+ xn*d^n = y0 + y1*d^1 + y2*d^2 + ….+ yn*d^n a) show that there is a value c>0 such that Px (c) = Py( c ) b) calculate 50/12 = d + d^2 + d^3 + d^4 + d^5

Subject:

Math

Topic:

Calculus

Posting ID:

8063

OTA ID:

102959

View Details $1.99 Download Add to Cart

Series: Convergence Interval

Find the convergence interval of the following series. x-x^2/2+x^3/3+...+(-1)^(n-1)/n x^n+...

Subject:

Math

Topic:

Calculus

Posting ID:

8123

OTA ID:

103300

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Integration

Intergrate the follow function f(x)=(1+x^2)/(1+x^4)

Subject:

Math

Topic:

Calculus

Posting ID:

8296

OTA ID:

103300

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function as a composition

What are the formulas for f+g, f-g, fg, and f/g, and the domains of the functions if f(x)= 3x-2, g(x)= |x| ?

Subject:

Math

Topic:

Calculus

Posting ID:

8347

OTA ID:

102959

View Details $1.99 Download Add to Cart

Evaluate f(x) and f(y) at the indicated point.

Evaluate fx and fy at the indicated point f(x,y)= arccos xy pt. (1,1)

Subject:

Math

Topic:

Calculus

Posting ID:

8429

OTA ID:

103300

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