Simplify the expression with infinity $\frac{1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\cdot e^{\infty }\right)- \left(\frac{1}{\sqrt{3}}\right)\arctan\left(\frac{\sqrt{3}}{3}\cdot e^0\right)$

Step-by-step Solution

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Final answer to the problem

$\frac{\pi }{2\sqrt{3}}+\frac{-1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\right)$
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Step-by-step Solution

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Calculate the power $e^0$

$\frac{1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\cdot e^{\infty }\right)+\frac{-1}{\sqrt{3}}\arctan\left(1\left(\frac{\sqrt{3}}{3}\right)\right)$

Learn how to solve operations with infinity problems step by step online.

$\frac{1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\cdot e^{\infty }\right)+\frac{-1}{\sqrt{3}}\arctan\left(1\left(\frac{\sqrt{3}}{3}\right)\right)$

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Learn how to solve operations with infinity problems step by step online. Simplify the expression with infinity 1/(3^(1/2))arctan((3^(1/2))/3e to the power infinity)-1/(3^(1/2))arctan((3^(1/2))/3e^0). Calculate the power e^0. Any expression multiplied by 1 is equal to itself. Apply a property of infinity: k^{\infty}=\infty if k>1. In this case k has the value e. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.

Final answer to the problem

$\frac{\pi }{2\sqrt{3}}+\frac{-1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\right)$

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Function Plot

Plotting: $\frac{\pi }{2\sqrt{3}}+\frac{-1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\right)$

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7
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Operations with Infinity

Indications for how we should operate with infinity. Very useful to solve limits.

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