find the limit as x reaches infinite with the equation x^2-5/2x+1

Remember to ADD parentheses around the numerator and denominator when transcribing fractions.

f(x) = (x²-5)/(2x+1)
By long division, we can reduce f(x) to
f(x) = (1/2)x - 1/4 + 19/(4(2x+1))
Lim x→∞ (1/2)x - 1/4 + 19/(4(2x+1))
= ∞ + 0 + 0
= ∞