limit

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 expression for computing the effective interest rate ($i_{eff}$) using continuous compounding for a nominal interest rate of 5% is $i_{eff} = \lim_{m\to\infty} (1 + \frac{0.05}...

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

Consider the limit: $\lim_{x\to 1} \left(\frac{1}{\ln x} - \frac{1}{x-1}\right)$ The limit (correct up to one decimal place) is _________

The following inequality is true for all x close to 0. 2 - x²/3 < (x sin x) / (1 - cos x) < 2 What is the value of lim (x sin x) / (1 - cos x) ?

$$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {1 \over x}} \right)^{2x}}\,\,$$ is equal to

The expression $$\mathop {Lim}\limits_{a \to 0} \,{{{x^a} - 1} \over a}\,\,$$ is equal to

Limit of the following sequence as $$n \to \infty $$ $$\,\,\,$$ is $$\,\,\,$$ $${x_n} = {n^{{1 \over n}}}$$

Limit of the following series as $$x$$ approaches $${\pi \over 2}$$ is $$f\left( x \right) = x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - {{{x^7}} \over {7!}} + - - - - - $$

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 _______.