Answer:
(82/3, -111/2) or x=82/3, y=-111/2
Step-by-step explanation:
Answer:
x= i√2, -i√2
Step-by-step explanation:
Recall that the derivative of a function f(x) at a point x = c is given by

By substituting h = x - c, we have the equivalent expression

since if x approaches c, then h = x - c approaches c - c = 0.
The two given limits strongly resemble what we have here, so it's just a matter of identifying the f(x) and c.
For the first limit,

recall that sin(π/3) = √3/2. Then c = π/3 and f(x) = sin(x), and the limit is equal to the derivative of sin(x) at x = π/3. We have

and cos(π/3) = 1/2.
For the second limit,

we observe that e²ˣ = 1 if x = 0. So this limit is the derivative of e²ˣ at x = 0. We have

and 2e⁰ = 2.
6 less a number implies 6 decreased by a certain number
that would be 6-n where n is the number
6 less than a number implies a number decreased by 6
that would be n-6 where n is the number
so they probably don't mean the same thing