Question 1044993: Example: Please help me solve this equation: if f(x)= for x=!0
and if ƒ is continuous at x = 0, then k =
A) -3/2
(B) -1
(C) 0
(D) 1
(E) 3/2 answer here Found 2 solutions by Boreal, ikleyn:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! L'Hôpital's Rule
derivative of this is
(1/4x^2)[(2x)(6x+1)-(3x^2+x)*2}
=(1/4x^2){12x^2+2x-6x^2-2x}
=(1/4x^2)(6x^2)=6/4=3/2
E
You can put this solution on YOUR website! .
Example: Please help me solve this equation: if f(x)= for x=!0
and if ƒ is continuous at x = 0, then k =
A) -3/2
(B) -1
(C) 0
(D) 1
(E) 3/2 answer here
~~~~~~~~~~~~~~~~~~~~~
The formulation is incorrect. (And the solution is incorrect as well).
The correct formulation and solution follow:
You are given a function f(x) = .
Find the limit of the function at x-->0.
Solution.
Factor x out parentheses in the numerator. Then cancel factor "x" in the numerator an denominator. You will get
lim = lim = lim = .
x-->0 x-->0 x-->0
Notice that this result lim = is not in the list.
Nevertheless, this result is correct.
Everything in the list is incorrect.
