The value of lim x - 1-x-2-x2-x-1-x3-3 x2-2 x- is

The correct option is D 2lim_x→ 11x[x 2x 1 1x^2 3x+2] lim_x→ 11x[x 2x 1 1(x 2)(x 1)] lim_x→ 11x(x 1)[x 2 1(x 2)] lim_x→ 11x(x 1)[(x 2)^2 1(x 2)] lim_x→ 11x(x 1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Second Fundamental Theorem of Calculus

The value of ...

Question

The value of $lim x \to 1 [\frac{x - 2}{x^{2} - x} - \frac{1}{x^{3} - 3 x^{2} + 2 x}]$ is

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $2$
$lim x \to 1 \frac{1}{x} [\frac{x - 2}{x - 1} - \frac{1}{x^{2} - 3 x + 2}]$
$lim x \to 1 \frac{1}{x} [\frac{x - 2}{x - 1} - \frac{1}{(x - 2) (x - 1)}]$
$lim x \to 1 \frac{1}{x (x - 1)} [x - 2 - \frac{1}{(x - 2)}]$
$lim x \to 1 \frac{1}{x (x - 1)} [\frac{(x - 2)^{2} - 1}{(x - 2)}]$
$lim x \to 1 \frac{1}{x (x - 1)} [\frac{x^{2} - 4 x + 3}{(x - 2)}]$
$lim x \to 1 \frac{1}{x (x - 1)} [\frac{(x - 3) (x - 1)}{(x - 2)}]$
$lim x \to 1 \frac{(x - 3)}{x (x - 2)} = lim x \to 1 \frac{(1 - 3)}{1 (1 - 2)} = 2$

Suggest Corrections

Similar questions

Solve:

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

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

Q. Find the limits :

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}]

Q. Solve

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

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

Join BYJU'S Learning Program

The value of limx→1[x−2x2−x−1x3−3x2+2x] is

The value of $lim x \to 1 [\frac{x - 2}{x^{2} - x} - \frac{1}{x^{3} - 3 x^{2} + 2 x}]$ is