Tính giá trị của I = ()

I assume you're supposed to find the limit as n approaches infinity, not x.

You have

For |x| < 1, we have lim |x|ⁿ = 0 as n goes to infinity. Then each exponential term converges to 0, which leaves us with -1/0. This means the limit is negative infinity.

On the other hand, perhaps you meant to write

The same algebraic manipulation gives us

Again the exponential terms converge to 0, but this time we're left with the limit 1/2.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

the height of the surface increases from the center out to the sides of the road

it is c!