The value of p for which the function f(x)= ll (4^ -1 )^3 (x p ) (1+x^2 3 ) & , x 0 12)( 4)^3 & , x=0 . may be continuous at x=0, is

The value of p for which the function f(x)= ll (4^ -1 )^3 (x p ) …

$\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{6}$ is equal to

→

$\lim _{x \rightarrow 0} \frac{5^x-4^x}{4^x-3^x}$ is equal to

→

The number of ways in which a host lady can invite for a party of $8$ out of $12$ people of whom two do not want to attend the party together is :

→

Let $R$ be a relation on the set $N$ be defied by $\{(x, y) / x, y \in N, 2 x+y=41\}$ Then $R$ is

→

$\cos ^2 \alpha+\cos ^2\left(\alpha+120^{\circ}\right)+\cos ^2\left(\alpha-120^{\circ}\right)$ is equal to

→

$\lim _{x \rightarrow 2}\left(\frac{1}{x-2}-\frac{2}{x^2-2 x}\right)=$

→

The value of $\frac{i^{592}+i^{590}+i^{588}+i^{586}+i^{584}}{i^{582}+i^{580}+i^{578}+i^{576}+i^{574}}-1=$

→

If $\alpha$ and $\beta$ are the roots of the equation $x^2-x+1=0$, then $\alpha^{2009}+\beta^{2009}=$

→

$\lim _{x \rightarrow 0} \frac{\sqrt{a+x}-\sqrt{a-x}}{x \sqrt{a(a+x)}}=$

→

The lines
(p - q) x + (q - r) y + (r - p) = 0
(q - r) x + (r - p) y + (p - q) = 0
(r - p) x + (p - q) y + (q - r) = 0 are

→