Evaluate- limx- 2-x-7-3-2x-3-x-6-2-3x-5

The correct option is A 34/23 lim_x→ 2√(x+7) 3√(2x 3)/√(x+6) 2√(3x 5) As solution is of the form 00 , hence applying Lhospital's rule, =lim ...

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Vector Triple Product

Evaluate: l...

Question

Evaluate: $lim x \to 2 \frac{\sqrt{x + 7} - 3 \sqrt{2 x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3 x - 5}}$

\frac{34}{23}

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\frac{23}{17}

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\frac{7}{23}

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\frac{23}{7}

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Solution

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Similar questions

Multiply the following fractions:

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

Sr. No.	Form of Exponent	Repeated multiplication	Result
1)	$a^{2} \times a^{3}$	....................	$a^{2 + 3} = a^{5}$
2)	$2^{5} \div 2^{3}$	.....................	$2^{2} = 4$
3)	....................	$\frac{x \times x \times x}{x \times x \times x \times x}$	$\frac{1}{x}$
4)	$(_{2})^{3} \div (- 2)^{3}$	$\frac{(- 2) \times (- 2) \times (- 2)}{(- 2) \times (- 2) \times (- 2)}$	....................
5)	$(m^{2})^{3}$	$m^{2} \times m^{2} \times m^{2}$	....................
6)	....................	$2 x \times 2 x \times 2 x$	$2^{3} \times x^{3}$
7)	${(\frac{7}{b})}^{3}$	....................	$\frac{7^{3}}{b^{3}}$

\frac{2}{3 + \sqrt{7}}

4 \frac{3}{5} \times 2 \frac{3}{7} = \frac{23}{5} \times \frac{17}{7} = ?

161 x^{2} y z

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