Limit and Continuity

19. ${\displaystyle \underset{x\to \mathrm{\infty }}{lim}\frac{x(x+1)}{x^2}=}$ [2075]

20. ${\displaystyle \underset{x\to \frac{\pi }{4}}{lim}\frac{se{c}^{2}x-2}{tanx-1}=}$ [2075]

19. ${\displaystyle \underset{x\to \infty }{lim}\frac{3x^2+2x-5}{6x^2+4x-7}=}$ = [2074]

20. ${\displaystyle \underset{x\to 0}{lim}\frac{1-coxax}{x^2}=}$ [2074]

18. ${\displaystyle \underset{x\to \infty }{lim}\frac{1+2+...+n}{n^2}=}$ [2073]

19. ${\displaystyle \underset{x\to \infty }{lim}\frac{5x^2+4xtanx}{x^2}=}$ = [2073]

19. ${\displaystyle \underset{x\to 0}{lim}\frac{x-2}{\sqrt{x^2-4}}}$ [2072]

20. ${\displaystyle \underset{x\to 0}{lim}\frac{1-2co{s}^{2}ax}{x^2}}$ [2072]

18. The value of ${\displaystyle \underset{x\to 2}{lim}\frac{x^5-2^5}{x-2}=}$ is [2071]

19. The value of ${\displaystyle \underset{x\to 0}{lim}\frac{3x+4tan2x}{x}}$ is [2071]

6. ${\displaystyle \underset{x\to \mathrm{0}}{lim}\frac{a^x-b^x}{x}}$ is equal to [2070]

24. If ${\displaystyle \underset{x\to 0}{lim}f(x)\ne \underset{x\to 0}{lim}f(x)}$ then f(x) is said to be an [2070]

Other Questions

${\displaystyle \underset{x\to 3}{lim}\frac{x^2-9}{x-3}}$

${\displaystyle \underset{x\to 0}{lim}\frac{2^x-3^x-2}{x}}$

${\displaystyle \underset{x\to 0}{lim}\frac{(1+x{)}^n-1}{x}}$

${\displaystyle \underset{x\to 0}{lim}\frac{\sqrt{1+2x^2}-\sqrt{1-2x^2}}{x^2}}$

${\displaystyle \underset{x\to 0}{lim}(1+3x{)}^{\frac{1}{x}}}$

${\displaystyle \underset{x\to \mathrm{\infty }}{lim}\frac{si{n}^{2}2x}{x^2}}$

${\displaystyle \underset{x\to \mathrm{2}}{lim}\frac{x^2-4}{x-2}}$

${\displaystyle \underset{x\to 5}{lim}\frac{x-5}{x^2-25}}$

${\displaystyle \underset{x\to 3}{lim}\frac{x^2-7x+12}{x-3}}$

${\displaystyle \underset{x\to 2}{lim}{x}^2+5x+1}$

${\displaystyle \underset{x\to 1}{lim}\frac{x^2-3x+2}{x-1}}$

${\displaystyle \underset{x\to 1}{lim}\frac{x^2+x-20}{x-4}}$

${\displaystyle \underset{x\to 0}{lim}\frac{(x+4{)}^2-16}{x}}$

${\displaystyle \underset{x\to 0}{lim}\frac{\sqrt{x^3}}{\sqrt{x}}}$

${\displaystyle \underset{x\to \mathrm{\infty }}{lim}\frac{3}{1+t^2}}$

${\displaystyle \underset{x\to \mathrm{\infty }}{lim}\frac{x^2+x+1}{(3x+2{)}^2}}$

${\displaystyle \underset{x\to \mathrm{\infty }}{lim}\frac{2x^2}{(x+2{)}^3}}$

${\displaystyle \underset{x\to 0}{lim}\frac{\mathrm{1+sinx}}{\mathrm{1+cosx}}}$

${\displaystyle \underset{x\to \mathrm{\infty }}{lim}(\frac{3x-4}{3x+2}{)}^{\frac{x+1}{3}}}$

${\displaystyle \underset{x\to \mathrm{0}}{lim}\frac{sin{x}^{°}}{x}}$

${\displaystyle \underset{x\to 0}{lim}\frac{1-\mathrm{cos2x}}{x}}$

${\displaystyle \underset{x\to 0}{lim}\frac{xcosx-sinx}{x^{2}sinx}}$

${\displaystyle \underset{x\to \mathrm{\infty }}{lim}\frac{sinx}{x}}$