Calculators Topics Go Premium About Snapxam
ENGESP
Topics

Step-by-step Solution

Evaluate the limit $\lim_{x\to0}\left(\left(x+\sin\left(x\right)\right)^{\tan\left(x\right)}\right)$

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

$1$

Step-by-step explanation

Problem to solve:

$\lim_{x\to0}\left(x+senx\right)^{tanx}$
1

Evaluate the limit by replacing all occurrences of $x$ by $0$

$\left(0+\sin\left(0\right)\right)^{\tan\left(0\right)}$
2

Simplifying

$1$

Answer

$1$

Problem Analysis

$\lim_{x\to0}\left(x+senx\right)^{tanx}$

Time to solve it:

~ 0.69 seconds