- #1
aegiuscutter
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Homework Statement
use the formal definition to show that lim as t goes to infinity of (1-2t-3t^2)/(3+4t+5t^2) = -3/5
Homework Equations
given epsilon > 0, we want to find N such that if x>N then absolute value of ((1-2t-3t^2)/(3+4t+5t^2) + 3/5) < epsilon
The Attempt at a Solution
i assume that X>N>0 and that the numerator and denominator can't be equal to zero.
do i have to limit the domain? not sure how to proceed from here
absolute value of ((1-2t-3t^2)/(3+4t+5t^2)) < epsilon - 3/5
absolute value of (-(3t+1)(t-1)/5t^2+4t+3)) < epsilon -3/5