text: 👉 Try now NerdPal! Our new math app on iOS and Android
  
  # Find the limit of $\cos\left(\frac{x}{x}\right)$ as $x$ approaches $2147483647$
  
  ## Step-by-step Solution
  
  Go!
  Math mode
  Text mode
  Go!
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  e
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  ln
  log
  log
  lim
  d/dx
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  |◻|
  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!
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  x
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  +
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  ×
  ◻/◻
  /
  ÷
  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.
explanation: The text extract is a step-by-step solution to a math problem, specifically finding the limit of a trigonometric function. It contains a question and an answer.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 👉 Try now NerdPal! Our new math app on iOS and Android
  
  # 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.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract is a step-by-step solution to a math problem, specifically finding the limit of a trigonometric function. It contains a question and an answer.
  
  Label: question-and-answer