I bet the sum you're referring to is supposed to be
or equivalently,
where is the binomial coefficient.
Recall the binomial series,
which is valid for |x| < 1. (Note that if r > α, the binomial coefficient is defined to be zero, so there really are only α many terms when α is a whole number.)
Differentiating both sides with respect to x gives
Multiply both sides by some arbitrary x in |x| < 1 :
Repeat:
Let α = 20, and let x approach 1 from below. The right side converges to the sum we want, while the left side converges to
Answer:
No Solution.
Step-by-step explanation:
x-3y=-4
2x-6y=6
-----------
simplify 2x-6y=6 into x-3y=3
-------------
x-3y=-4
x-3y=3
------------
x-3y=-4
-(x-3y)=-1(3)
-----------------
x-3y=-4
-x+3y=-3
---------------
0=-7
no solution
Answer:
since F is midpoint
DF= FE = 2x+6
DF +FE=DE
2x+6 + 2x+6 = 2x+36
4x + 12 = 2x+36
2x = 24
x=12
DE =2x+36 =2*12 + 36 = 60
Step-by-step explanation:
Answer:
y=1/6x+2
Step-by-step explanation:
y-y1=m(x-x1)
y-1=1/6(x-(-6))
y-1=1/6(x+6)
y=1/6x+6/6+1
y=1/6x+1+1
y=1/6x+2