Find limit at x tends to -infinity (x^4+1)( sqrt (x^6+x^3+1))/(x^7+x^3+x^4+1)

Open in App

Solution

Suggest Corrections

Similar questions

Q. If the median of the data

x_{1}, x_{2}, x_{3}, x_{4}, x_{5}, x_{6}, x_{7}, x_{8}

α

and

x_{1} < x_{2} < x_{3} < x_{4} < x_{5} < x_{6} < x_{7} < x_{8}

, then the median of

x_{3}, x_{4}, x_{5}, x_{6}

You are given
$cos x = 1 - \frac{x^{2}}{2!} + \frac{x^{4}}{4!} - \frac{x^{6}}{6!} . . . . . .$ ;
$sin x = x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} . . . . . .$ ;
$tan x = x + \frac{x^{3}}{3} + \frac{2 x^{5}}{15} . . . . . .$
Then the value of
$lim x \to 0 \frac{x cos x + sin x}{x^{2} + tan x}$ is

___

Q. If the median of the observations x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈ is m, then the median of the observations x₃, x₄, x₅, x₆ (where x₁ < x₂ < x₃< x₄ < x₅< x₆< x₇< x₈) is _________.

Q. Which polynomial is not in standard from?
(i)

x^{3} + x^{2} - 1 = x^{2} + x^{3}

(ii)

(x^{4} + 1) (x - x^{2})

(iii)

x^{6} + x^{3} - x + 1

$a = 1 + \frac{x^{3}}{3!} + \frac{x^{6}}{6!} + . . .$ ,

$b = x + \frac{x^{4}}{4!} + \frac{x^{7}}{7!} + . . .$ ,

$c = \frac{x^{2}}{2!} + \frac{x^{5}}{5!} + \frac{x^{8}}{8!} + . . .$ .

If $a^{3} + b^{3} + c^{3} - z a b c = 1$ . Find the value of $z$

Join BYJU'S Learning Program