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$lim_{x \to \infty} {(x + 3)}^{1 + \frac{1}{x}} - x^{1 + \frac{1}{x + 3}}$

dotzis16xd 2022-03-21

Limit $lim_{x \to 0} {\frac{\tan {x} - \sin {x}}{x^{3}}}$
So what I tried is:
$lim_{x \to 0} \frac{\frac{\sin {x}}{\cos {x}} - \sin {x}}{x^{3}} = lim_{x \to 0} \frac{{\sin {x}} (\frac{1}{\cos x} - 1)}{x \cdot x^{2}}$
From here, using the rule $lim_{x \to 0} \frac{\sin {x}}{x} = 1$ it remains to evaluate
$lim_{x \to 0} \frac{\frac{1}{\cos {x}} - 1}{x^{2}}$

afadimoz4 2022-03-19

Can someone simply explain to me how to calculate linear integral linke below?
$\int_{L} 5 y d L$
where L is line segment from (0;0) to (0,2;0,2)

fellesturduj 2022-03-19

Can someone please explain to me why the following identity is true?
$lim_{x \to \infty} {(1 + \frac{a}{x})}^{x} = e^{a}$

lim cos 2x

Elisha Frost 2022-03-18

An object moves according to the equation $y = \frac{1}{t + 2}, t \geq 0$ , how do you find the velocity as a function of t?

Kymani Patrick 2022-03-18

At where $f (x) = | (x^{2}) - 9 |$ is differentiable?

\int_0^1 (1)/(1+\root(3)(x))dx

Caroline Carey 2022-03-17

What is the equation of the tangent line of $f (x) = x - \frac{4}{e^{x}} + \frac{x^{2}}{e^{x}} - 1$ at x=4?

Jerimiah Boone 2022-03-17

What is the instantaneous rate of change at x=2 of the function given by $f (x) = \frac{x^{2} - 2}{x - 1}$ ?

melalcolicaoh3 2022-03-17

What is the instantaneous rate of change of $f (x) = {(x - 1)}^{2} - 4 x$ at x=0?

Nikhil Holt 2022-03-17

What is the instantaneous rate of change of $f (x) = - 2 x^{3} + 5 x^{2} + 3 x$ at x=-2?

evighetl2b 2022-03-17

What is the instantaneous rate of change of $f (x) = - 2 x^{3} - 8 x^{2} - x$ at x=2?

Aiden Delacruz 2022-03-17

What is the instantaneous rate of change of $f (x) = e^{x}$ when $x = 0$ ?

fun9vk 2022-03-17

What is the instantaneous rate of change for $g (x) = x^{2} - x + 4$ when x=-7?

Ramon Powell 2022-03-17

What is the instantaneous rate of change of $f (x) = (x^{2} - 2) e^{x}$ at x=2?

Ben Shaffer 2022-03-17

What is the instantaneous rate of change of $f (x) = (x^{2} - 3 x) e^{x - 1}$ at x=0?

sanmateo9x3 2022-03-17

What is the instantaneous rate of change of $f (x) = \ln (4 x^{2} - 2 x)$ at x=-2?

voordragh2 2022-03-17

What is the instantaneous rate of change of $f (x) = \ln (4 x^{2} - 6)$ at x=-2

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