$$\lim_{x \to 1^-}\left(2 x^{2} + 3 x\right) = 5$$ More at x→1 from the left $$\lim_{x \to 1^+}\left(2 x^{2} + 3 x\right) = 5$$ $$\lim_{x \to \infty}\left(2 x^{2} + 3 x\right) = \infty$$ More at x→oo $$\lim_{x \to 0^-}\left(2 x^{2} + 3 x\right) = 0$$ More at x→0 from the left $$\lim_{x \to 0^+}\left(2 x^{2} + 3 x\right) = 0$$ More at x→0 from the right $$\lim_{x \to -\infty}\left(2 x^{2} + 3 x\right) = \infty$$ More at x→-oo