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Category: Limits

lim-x-0-1-3x-1-3-1-2x-x-2-

Question Number 123398 by bemath last updated on 25/Nov/20 limx01+3x31+2xx2? Answered by Dwaipayan Shikari last updated on 25/Nov/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}+\frac{\mathrm{3}{x}}{\mathrm{3}}+\frac{\mathrm{9}{x}^{\mathrm{2}} }{\mathrm{2}!}.\left(−\frac{\mathrm{2}}{\mathrm{9}}\right)−\mathrm{1}−\frac{\mathrm{2}{x}}{\mathrm{2}}+\frac{\mathrm{4}{x}^{\mathrm{2}}…

lim-x-1-4x-3-2x-1-3x-1-x-2-2x-1-

Question Number 188933 by horsebrand11 last updated on 09/Mar/23 limx14x3+2x13x+1x22x+1=? Commented by TUN last updated on 09/Mar/23 $$=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\sqrt{\mathrm{4}{x}−\mathrm{3}}−\left(\mathrm{2}{x}−\mathrm{1}\right)+\sqrt{\mathrm{2}{x}−\mathrm{1}}−{x}}{\left({x}−\mathrm{1}\right)^{\mathrm{2}}…

lim-x-x-x-1-9x-2-x-3-

Question Number 123349 by bemath last updated on 25/Nov/20 limx[xx19x+2x3]? Answered by liberty last updated on 25/Nov/20 limxx[x19x+213]=$$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{{x}\:\left(\mathrm{3}\sqrt{{x}−\mathrm{1}}\:−\sqrt{\mathrm{9}{x}+\mathrm{2}}\right)}{\:\mathrm{3}\sqrt{\mathrm{9}{x}+\mathrm{2}}}\:=…