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# Find the limit of $x^{\tan\left(\pi \cdot \frac{1}{2}x\right)}$ as $x$ approaches $1$

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asin
acos
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sinh
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asinh
acosh
atanh
acoth
asech
acsch

##  Final answer to the problem

$1$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve using L'Hôpital's rule
• Solve without using l'Hôpital
• Solve using limit properties
• Solve using direct substitution
• Solve the limit using factorization
• Solve the limit using rationalization
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
Can't find a method? Tell us so we can add it.
1

Simplifying

$\lim_{x\to1}\left(x^{\tan\left(\frac{\pi}{2}x\right)}\right)$

Learn how to solve limits of exponential functions problems step by step online.

$\lim_{x\to1}\left(x^{\tan\left(\frac{\pi}{2}x\right)}\right)$

Learn how to solve limits of exponential functions problems step by step online. Find the limit of x^tan(pi*1/2x) as x approaches 1. Simplifying. Evaluate the limit \lim_{x\to1}\left(x^{\tan\left(\frac{\pi}{2}x\right)}\right) by replacing all occurrences of x by 1. Multiply \frac{\pi}{2} times 1. Calculating the tangent of \frac{\pi}{2} degrees.

##  Final answer to the problem

$1$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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3
4
5
6
7
8
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

###  Main Topic: Limits of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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