divide every term in the quotient by the highest power of x (that would be x^3).
now, what happens to the value of the expression as x gets large?
I can't figure out this one, its driving me crazy. My teacher made this problems up and he call them Interesting problems and sometimes even the tutors struggle with his problems.
Lim 5 + 2x^2 + x^3 / over 3 - x^2 + 2x^3
x->infinity
It has the sign of Infinity but i can't draw it and -> is an arrow as x approaches...
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Evaluate the limit and illustrate each step that involves the use of a limit property.
Lim t^3 - 3t^2 - t + 3 / over t^2 - t - 6
t->3
as t approaches 3
so far i have:
-> 27 - 27 - 3 +3 / over 9 - 3 - 6
-> 0 / over 0
= 0
I substitute it 3 for t but i don't know if this is the right way for this one, Also i need to illustrate each step that involves the use of a limit property, but how? Do i have to label each step like by hypothesis, by substitution, by arithmetic etc..?
here i go again:
-> t^2 (t-3) - (t-3) / (t-3) (t+2)
-> numerator and denominator (t-3) cancel
-> t^2 - (t-3) / (t+2)
-> then i substitute t for 3?
-> 3^2 - (3-3) / (3+2)
-> 9 - (3-3) / (3+2)
-> 9 / 5
i showed all i did but still i don't know if that's what you mean