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Find the limit $\lim_{x\to1}\left(\tan\left(\frac{\pi x}{4}\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$

Step-by-step Solution

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$1$
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Step-by-step Solution

Problem to solve:

$\lim_{x\to1}\left(\tan\left(\frac{\pi x}{4}\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$

Specify the solving method

1

Take $\frac{\pi }{4}$ out of the fraction

$\lim_{x\to1}\left(\tan\left(\frac{\pi}{4}x\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$

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

$\lim_{x\to1}\left(\tan\left(\frac{\pi}{4}x\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$

Learn how to solve limits of exponential functions problems step by step online. Find the limit (x)->(1)lim(tan((pix)/4)^tan((pix)/2)). Take \frac{\pi }{4} out of the fraction. Take \frac{\pi }{2} out of the fraction. Evaluate the limit \lim_{x\to1}\left(\tan\left(\frac{\pi}{4}x\right)^{\tan\left(\frac{\pi}{2}x\right)}\right) by replacing all occurrences of x by 1. Simplifying, we get.

$1$
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Go!
1
2
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

$\lim_{x\to1}\left(\tan\left(\frac{\pi x}{4}\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$