﻿ limx→aa + 2x13 - 3x133a + x13 - 4x13 a ≠ 0 = ? | Limits and Derivatives

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# Limits and Derivatives

#### Multiple Choice Questions

111.

• $\frac{1}{\mathrm{k}}$

• $\frac{2}{\mathrm{k}}$

112.

• $\frac{1}{2}$

• 1

• 2

113.

• ${\mathrm{tan}}^{-1}\left(\frac{5}{\sqrt{3}}\right)$

• ${\mathrm{tan}}^{-1}\left(\sqrt{\frac{5}{3}}\right)$

• ${\mathrm{tan}}^{-1}\left(\frac{2}{\sqrt{3}}\right)$

• $\frac{\mathrm{\pi }}{3}$

114.

115.

• 2

• 1

• e

• e2

116.

117.

# 118.$\left(\frac{2}{9}\right){\left(\frac{2}{3}\right)}^{1}{3}}$ ${\left(\frac{2}{3}\right)}^{4}{3}}$ ${\left(\frac{2}{9}\right)}^{4}{3}}$ $\left(\frac{2}{3}\right){\left(\frac{2}{9}\right)}^{1}{3}}$

D.

$\left(\frac{2}{3}\right){\left(\frac{2}{9}\right)}^{1}{3}}$

119.

• $\frac{1}{\mathrm{e}}$

• 2e

• $\frac{1}{2\mathrm{e}}$

• e

120.

• does not exist

• is equal to 1

• is equal to $\sqrt{\mathrm{e}}$

• is equal to 0