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# Find the limit of $\cos\left(\frac{x}{x}\right)$ as $x$ approaches $2147483647$

## Step-by-step Solution

Go!
Math mode
Text mode
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e
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ln
log
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lim
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sin
cos
tan
cot
sec
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Videos

$0.540302$
Got another answer? Verify it here!

##  Step-by-step Solution 

Specify the solving method

1

Simplify the fraction $\frac{x}{x}$ by $x$

$\lim_{x\to2147483647}\left(\cos\left(1\right)\right)$

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to2147483647}\left(\cos\left(1\right)\right)$

Learn how to solve limits by direct substitution problems step by step online. Find the limit of cos(x/x) as x approaches 919191919991. Simplify the fraction \frac{x}{x} by x. The cosine of 1 equals 0.540302. The limit of a constant is just the constant.

$0.540302$

##  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

Limits by Direct SubstitutionLimits by L'Hôpital's ruleLimits by FactoringLimits by Rationalizing

SnapXam A2

Go!
1
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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 by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.
The text passage contains a mathematical question in the form of a limit problem, and the answer to that question is provided at the end of the passage.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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# Find the limit of $\cos\left(\frac{x}{x}\right)$ as $x$ approaches $2147483647$

## Step-by-step Solution

Go!
Math mode
Text mode
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

###  Videos

$0.540302$
Got another answer? Verify it here!

##  Step-by-step Solution 

Specify the solving method

1

Simplify the fraction $\frac{x}{x}$ by $x$

$\lim_{x\to2147483647}\left(\cos\left(1\right)\right)$

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to2147483647}\left(\cos\left(1\right)\right)$

Learn how to solve limits by direct substitution problems step by step online. Find the limit of cos(x/x) as x approaches 919191919991. Simplify the fraction \frac{x}{x} by x. The cosine of 1 equals 0.540302. The limit of a constant is just the constant.

$0.540302$

##  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

Limits by Direct SubstitutionLimits by L'Hôpital's ruleLimits by FactoringLimits by Rationalizing

SnapXam A2

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

### Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.
user
The text passage contains a mathematical question in the form of a limit problem, and the answer to that question is provided at the end of the passage.

TYPE: SINGLE_QUESTION_WITH_ANSWER