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Verified answer
Lim f(t)t=>~
Lim (2t^2 + 3t + 4)/(3 + 2t)(t - 1)
t=>0
Lim (2t^2 + 3t + 4)/(2t^2 + t - 3)
t=>~
Lim (2t^2/t^2 + 3t/t^2 + 4/t^2)/(2t^2/t^2 + t/t^2 - 3/t^2)
t=>~
Lim (2 + 3/t + 4/t^2)/(2 + 1/t - 3/t^2)
t=>0
= (2 + 0 + 0)/(2 + 0 - 0)
= 2/2
= 1