Lim x→9 show your work.

  1/27

Step-by-step explanation:

Straightforward evaluation of the expression at x=9 gives 0/0, indicating that L'Hôpital's Rule should be used to find the limit. The next step is to find the ratio of the derivatives of numerator and denominator at the limit point.

Let's call the parts of the expression ...

  n = 3 -√x

  d = 27 -√(x^3)

Then ...

  dn/dx = (-1/2)x^(-1/2) . . . . = -1/6 at x=9

  dd/dx = (-3/2)x^(1/2) . . . . = -9/2 at x=9

The ratio of these is ...

  (-1/6)/(-9/2) = (1/6)(2/9) = 1/27

The limit as x approaches 9 of the given rational expression is 1/27.

black lol

step-by-step explanation:

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i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.