CameraIcon

SearchIcon

MyQuestionIcon

1

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

Limit

Evaluate the ...

Question

Evaluate the limit : $lim x \to 0 \frac{2 x^{2} + 3 x + 4}{x^{2} + 3 x + 2}$

Open in App

Solution

Using direct substitution method,

$lim x \to 0 \frac{2 x^{2} + 3 x + 4}{x^{2} + 3 x + 2} = \frac{0^{2} + 3 (0) + 4}{0^{2} + 3 (0) + 2}$

$= \frac{4}{2}$

$= 2$

Therefore,

$lim x \to 0 \frac{2 x^{2} + 3 x + 4}{x^{2} + 3 x + 2} = 2$

Suggest Corrections

thumbs-up

1

Similar questions

${lim}_{x \to 0} \frac{2 x^{2} + 3 x + 4}{x^{2} + 3 x + 2}$

Q. Evaluate the Given limit:

lim x \to 3 (x + 3)

Evaluate the following limits :

${lim}_{x \to \infty} \frac{(3 x - 1) (4 x - 2)}{(x + 8) (x - 1)}$

Q. Evaluate the limit :

lim x \to 4 \frac{x^{2} - 7 x + 12}{x^{2} - 3 x - 4}

Q. Evaluate the limit:

lim x \to 0 \frac{3 sin 2 x + 2 x}{3 x + 2 tan 3 x}

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon