limits

The expression for computing the effective interest rate $(i_{eff})$ using continuous compounding for a nominal interest rate of 5% is $i_{eff} = \lim\limits_{m \to \infty} \left(1...

A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n $$\to$$ $$\infty$$, the structures hydro...

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

Which one of the following is correct?

lim (tanx / (x^2 - x)) is equal to

$$\mathop {Lim}\limits_{x \to 0} \left( {{{\tan x} \over {{x^2} - x}}} \right)$$ is equal to _________.

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

What should be the value of $$\lambda $$ such that the function defined below is continuous at $$x = {\pi \over 2}$$? $$f\left( x \right) = \left\{ {\matrix{ {{{\lambda \,\cos x} \...

The $$\mathop {Lim}\limits_{x \to 0} {{\sin \left( {{2 \over 3}x} \right)} \over x}\,\,\,$$ is

The Laplace transform of a function $$f(t)$$ is $$$F\left( s \right) = {{5{s^2} + 23s + 6} \over {s\left( {{s^2} + 2s + 2} \right)}}$$$ As $$t \to \propto ,\,\,f\left( t \right)$$...

The value of the function, $$f\left( x \right) = \mathop {Lim}\limits_{x \to 0} {{{x^3} + {x^2}} \over {2{x^3} - 7{x^2}}}\,\,\,$$ is