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Esercizi svolti
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Esercizi sui limiti
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Pagina 3
Esercizi di analisi matematica sui limiti
$lim_{xto 4^+}-((x^2-7x+12)/(8x-x^2-16))$
$lim_{xto 2}((x^2-5x+6)/(x^3+2x^2-4x-8))$
$lim_{xto+infty}(sqrt(x^2-3x+1)-sqrt(x^2+x-2))$
$lim_{xto+infty}((x^6-sqrt(x^5+1))/(3+2sqrt(4x^12+x^2)))$
$lim_{xto+infty}((sqrt(5x^4+20x^2+20))/(3x^2+6))$
$lim_{xto-infty}((x-sqrt(x^2+x+3))/(sqrt(2-3x)-1))$
$lim_{xto+infty}((sqrt(2x+3)-1)/(sqrt(x^2+2x+2)+x))$
$lim_{x rightarrow -infty} frac{2x-sqrt{4x^2-x+3}}{x-sqrt{6-x}}$
$lim_{xto+infty}((sqrt(2x+3)-3)/(sqrt(x+1)-2))$
$lim_{xto-infty}((x^6-sqrt(1-x^5))/(3+2sqrt(4x^10+x^2)))$
$lim_{xto+infty}((x^2+sqrt(3){x}+5)/(2x^2+3x))$
$lim_{xto 3}(5/(x^2-x-6)-2/(x^2-4x+3))$
$lim_{xto 0}((tanx-sinx)/x^3)$
$lim_{x rightarrow pi} frac{1+cos x}{(x-pi)^2}$
$lim_{xto pi}(sinx/(2x-2pi))$
$lim_{xto 1}((2x-sqrt(5-x))/(x-sqrt(x)))$
$lim_{x rightarrow -1} frac{x+sqrt{x^2+2x+2}}{sqrt{3+2x}-1}$
$lim_{xto 3}((sqrt(2x+3)-3)/(sqrt(x+1)-2))$
$lim_{xto 2}((sqrt(3x-2)-sqrt(x+2))/(sqrt(x^2-3x+2)))$
$lim_{xto 1}((x-sqrt(x^2-3x+3))/(sqrt(10-x)-3))$
$lim_{xto+infty}(x(sqrt(x+1)-sqrtx))$
$lim_{xto-infty}(sqrt(x^2-3x+1)-sqrt(x^2+x-2))$
$lim_{xrightarrow 0^+}frac{sqrt{x}+sin x}{2sqrt{x}}$
$lim_{xto 0}((x^2+sin^2x)/(x^2+sin(x^2)))$
$lim_{xto 0}((sin(2x))/(sin(3x)))$
$lim_{xto 0}(xcot(2x))$
$lim_{xto pi}((1-sinx+cosx)/(cotx))$
$lim_{xto+infty}(x(1+sin^2x)-sqrtx)$
$lim_{xto+infty}((3x^2-5xcosx+7sinx)/(6x^2+5sinx))$
$lim_{xto pi/2}(tan(2x)-(cotx)/(cos(2x)))$
$lim_{x rightarrow +infty} frac{x+cos x}{sqrt{x}-1}
$lim_{xto 0^+}((sin(5x)+sinx)/(sqrt(1-cosx)))$
$lim_{xto 1}((log(x^2))/(1-x))$
$lim_{xrightarrow 0}frac{e^x-1}{sin 2x}$
$lim_{xto+infty}[log(1+e^(2+x))-x]$
$lim_{xrightarrow +infty}Big(1+frac{a}{x}Big)^x
$lim_{xto 4}((x-4)/(log_6(x)-log_6(4)))$
$lim_{xrightarrow 5}frac{x-5}{log x – log 5}
$lim_{xto 0}(e^(x/(x-1))-1)$
$lim_{xto 0}((1-cos(5x))/(8x^2))$
$lim_{xto-pi/2}(cosx/(1+sinx))$
$lim_{xto pi/2}((sin(4x)sin(3x))/(xsin(2x)))$
$lim_{xto+infty}(x(2^(1/x)-1))$
$lim_{xto 0}((2^x-1)/x)$
$lim_{nrightarrowinfty}frac{n+sqrt{n}+1}{sqrt{n^2+n+1}}$
$lim_{xto infty}((n-sqrt(n^2+1))/sin(1/n))$
$lim_{nrightarrowinfty} n-frac{sqrt{n}}{sqrt{n+2}-sqrt{n+1}}
$lim_{nto infty}((sin(1/n))/(sin(2/sqrtn)))$
$lim_{nrightarrowinfty} nsinbig[1-cosbig(frac{1}{n}big)big]
$lim_{xto infty}(sqrt(n^4+n^3+5)-n^2)$
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