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limx→∞f(x)\lim_{x\rightarrow\infty}f\left(x\right)x→∞limf(x) còn được kí hiệu là:
limf(x)\lim f\left(x\right)limf(x)
limx→yf(x)\lim_{x\rightarrow y}f\left(x\right)x→ylimf(x)
limx→x0f(x)\lim_{x\rightarrow x_0}f\left(x\right)x→x0limf(x)
limx→f(x)f(x)\lim_{x\rightarrow f\left(x\right)}f\left(x\right)x→f(x)limf(x)
limx2\lim x^2limx2
−∞-\infty−∞
+∞+\infty+∞
333
101010
lim 23\lim\ \frac{2}{3}lim 32
111
13\frac{1}{3}31
23\frac{2}{3}32
32\frac{3}{2}23
limx→3(x2+2x−3)\lim_{x\rightarrow3}\left(x^2+2x-3\right)x→3lim(x2+2x−3) là:
252525
535353
121212
limx→2 x2−4x−2\lim_{x\rightarrow2}\ \frac{x^2-4}{x-2}x→2lim x−2x2−4 là:
000
444
888
777
lim(−x3+2x+1)\lim\left(-x^3+2x+1\right)lim(−x3+2x+1) là
−3-3−3
−1-1−1
lim x−1x+3\lim\ \frac{x-1}{x+3}lim x+3x−1
−13-\frac{1}{3}−31
limx→3 x2−9x−3\lim_{x\rightarrow3}\ \frac{x^2-9}{x-3}x→3lim x−3x2−9 là:
666
222
lim 1n\lim\ \frac{1}{n}lim n1
12\frac{1}{2}21
555
lim qn = với ∣q∣<1\lim\ q^n\ =\ \ \ \ \ \ \ \ \ \ \ với\ \left|q\right|<1lim qn = với ∣q∣<1
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