Evaluate- limx- 2-5x-2-4x-4x-2

Now, lim_x→ 2√(5x+2) √(4x+4)x 2 =lim_x→ 25x+2 4x 4(x 2)(√(5x+2)+√(4x+4)) =lim_x→ 21(√(5x+2)+√(4x+4)) =1√(12)+√(12) =14√(3) . ...

You visited us 55 times! Enjoying our articles? Unlock Full Access!

Algebra of Limits

Evaluate: li...

Question

Evaluate:
$lim x \to 2 \frac{\sqrt{5 x + 2} - \sqrt{4 x + 4}}{x - 2}$

Open in App

Solution

Suggest Corrections

Similar questions

lim x \to \infty \frac{{3 x}^{- 1} + {4 x}^{- 2}}{{5 x}^{- 1} + 6 x^{- 2}} = \frac{3}{5}

\begin{matrix} {lim}_{x \to 1} \frac{x^{2} - 3 x + 2}{x^{2} - 4 x + 3} {lim}_{x \to 2} \frac{x^{3} + x^{2} - 12}{x^{3} - x^{2} - x - 2} {lim}_{x \to \sqrt{2}} \frac{x^{2} + x \sqrt{2} - 4}{x^{2} - 3 x \sqrt{2} + 4} {lim}_{x \to 3} \frac{x^{3} - 3 x^{2} - x + 3}{x^{3} - 6 x^{2} + 9 x} \end{matrix}

${lim}_{x \to 2} \frac{\sqrt{1 + 4 x} - \sqrt{5 x + 2 x}}{x - 2}$

i .

lim x \to 1 [\frac{x^{2} + 1}{x + 100}]

i i .

lim x \to 2 [\frac{x^{3} - 4 x^{2} + 4 x}{x^{2} - 4}]

i i i .

lim x \to 2 [\frac{x^{2} - 4}{x^{3} - 4 x^{2} + 4 x}]

i v .

lim x \to 2 [\frac{x^{3} - 2 x^{2}}{x^{2} - 5 x + 6}]

v .

lim x \to 1 [\frac{x - 2}{x^{2} - x} - \frac{1}{x^{3} - 3 x^{2} + 2 x}]

\int \frac{5 x^{4} + 4 x^{5}}{{(x^{5} + x + 1)}^{2}} d x

Join BYJU'S Learning Program