Asked by mary
Simplify, then apply the rules of limit to evaluate
lim x3-5x2+6x/x2-9
x->3
lim x3-5x2+6x/x2-9
x->3
Answers
Answered by
jai
first, we simplify the function:
(x^3-5x^2+6x)/(x^2-9)
x(x^2-5x+6)/(x-3)(x+3)
x(x-2)(x-3)/(x-3)(x+3)
cancel out x-3:
x(x-2)/(x+3)
thus, the limit as x--> is:
3(3-2)/(3+3)
1/2
so there,, :)
(x^3-5x^2+6x)/(x^2-9)
x(x^2-5x+6)/(x-3)(x+3)
x(x-2)(x-3)/(x-3)(x+3)
cancel out x-3:
x(x-2)/(x+3)
thus, the limit as x--> is:
3(3-2)/(3+3)
1/2
so there,, :)
Answered by
mary
Given two functions as:
f(x) = x2-x-1 and g(x) = 3/x
Find fog(x) also find the domain of f, g and fog
Solve the two sided inequality and show the solution on real line
7 < 1-2x ≤ 10
f(x) = x2-x-1 and g(x) = 3/x
Find fog(x) also find the domain of f, g and fog
Solve the two sided inequality and show the solution on real line
7 < 1-2x ≤ 10