Limx- 12x-3-x-1 -2x2-x-3 -IIT 1977-

Lim_x→ 1(2x 3)(√(x) 1) /(2x^2+x 3) On rationalisation lim_x→ 1(2x 3)(√(x) 1)×(√(x)+1) /(x 1)(2x+3)×(√(x)+1) = 1/5.2 = 1/10 ...

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Rationalization Method to Remove Indeterminate Form

limx→ 12x-3√x...

Question

$l i m_{x \to 1}$ $\frac{(2 x - 3) (\sqrt{x} - 1)}{({2 x}^{2} + x - 3)}$ =
[IIT 1977]

-1/10

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1/10

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-1/8

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None of these

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Solution

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Similar questions

lim x \to 1 \frac{(2 x - 3) (\sqrt{x} - 1)}{2 x^{2} + x - 3} =

lim x \to 1 \frac{(\sqrt{x} - 1) (2 x - 3)}{2 x^{2} + x - 3}

lim x \to 1 \frac{(2 x - 3) (\sqrt{x} - 1)}{2 x^{2} + x - 3} .

\frac{- 1}{b}

(i) Evaluate $l i m x \to 1 \frac{(2 x - 3) (\sqrt{x} - 1)}{2 x^{2} + x - 3}$ (ii) Differentiate $\frac{x + s i n x}{x + c o s x}$ with respect to x.

lim x \to 1 \frac{(2 x - 3) (\sqrt{x} - 1)}{2 x^{2} + x - 3}

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