infinity

The value of $\lim_{x\to\infty} (x - \sqrt{x^2 + x})$ is equal to

$$ \text { The value of }\mathop {\lim }\limits_{x \to \infty } \left(x-\sqrt{x^2+x}\right) \text { is equal to }$$

The value of $\lim_{x\to\infty} \frac{x \ln(x)}{1+x^2}$ is

The value of $\lim_{x\to\infty} \frac{x^2-5x+4}{4x^2+2x}$ is

$$\,\,\mathop {Lim}\limits_{x \to \infty } \left( {{{x + \sin x} \over x}} \right)\,\,$$ equal to

Limit of the function $$f\left( x \right) = {{1 - {a^4}} \over {{x^4}}}\,\,as\,\,x \to \infty $$ is given by

Limit of the function, $$\mathop {Lim}\limits_{n \to \infty } {n \over {\sqrt {{n^2} + n} }}$$ is _______.