CameraIcon

SearchIcon

MyQuestionIcon

Factorization Method Form to Remove Indeterminate Form

Evaluate : l...

Question

Evaluate :
$l i m_{x \to 2} [\frac{x^{2} - 5 x + 6}{x^{2} - 3 x + 2}]$

Open in App

Solution

$x^{2} - 5 x + 6 = (x - 3) (x - 2)$
$x^{2} - 3 x + 2 = (x - 1) (x - 2)$
Therefore,
$l i m_{x \to 2} [\frac{(x - 3) (x - 2)}{(x - 1) (x - 2)}]$

$= l i m_{x \to 2} \frac{x - 3}{x - 1} = \frac{2 - 3}{2 - 1} = - 1$

Suggest Corrections

thumbs-up

0

mid-banner-image

mid-banner-image

Similar questions

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

lim x \to 2 \frac{x (x^{2} - 4)}{x^{2} - 5 x + 6}

lim x \to \sqrt{2} \frac{x^{4} - 4}{x^{2} + 3 x \sqrt{2} - 8}

lim x \to 0^{-} \frac{x^{2} - 3 x + 2}{x^{3} - 2 x^{2}}

.

\int

\frac{3 x + 3}{\sqrt{x^{2} + 5 x + 6}}

View More

similar_icon

Related Videos

lock

Factorisation and Rationalisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Factorization Method Form to Remove Indeterminate Form

Standard XII Mathematics