How would you solve this Calculus problem?

Question

lim . . . . . . . . . . (1 - 4n)/(1 - 2n) =
n=>oo

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possible solutions....

a. -2

b. -1

c. 0

d. 1

e. 2

or none of these

Answer 1

I would solve it by taking the derivative of top and bottom
d(1-4n)=-4
d(1-2n)=-2
-4/(-2)=2

Pick e.

Answer 2

Multiplying top and bottom by -1, this fraction is the same as (4n-1)(2n-1). Now do the long division, and figure it out with the resulting expression, using the laws for limits and the fact that lim (1/n) = 0.

Alternatively, you could divide top and bottom by n, and use the laws of limits on that.

Good luck (although you won't need it).

Answer 3

e

as n goes to infinity, the numerator will be always be twice as big as the denominator. The equation approaches -4/-2 or 2. The higher n is the less significant 1 will be in the equation.

Answer 4

answer is e.

Differentiate numerator and denominator separately wrt to n.
when u do that u will get (-4)/(-2)= 2.

Bye