lim x-->infinity (3x^2+4x-5)/(6x^2+3x+1)
When x->∞,
the limit of a rational fraction where both numerator and denominator have the same degree is just the quotient of the leading coefficients.
In this case,
limit x->∞ = 3x^2/6x^2 =1/2
the limit of a rational fraction where both numerator and denominator have the same degree is just the quotient of the leading coefficients.
In this case,
limit x->∞ = 3x^2/6x^2 =1/2