Simplify limit as x approaches negative infinity of x/(2x-3)

Simplify limit as x approaches negative infinity of x/(2x-3)
Divide the numerator and denominator by the highest power of in the denominator, which is .
Evaluate the limit.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify each term.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Split the limit using the Limits Quotient Rule on the limit as approaches .
Evaluate the limit of which is constant as approaches .
Split the limit using the Sum of Limits Rule on the limit as approaches .
Evaluate the limit of which is constant as approaches .
Move the term outside of the limit because it is constant with respect to .
Since its numerator approaches a real number while its denominator is unbounded, the fraction approaches .
Simplify the denominator.
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Multiply by .
Add and .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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Name

Name seven hundred seven million two hundred ninety-eight thousand seven hundred sixty-eight

Interesting facts

  • 707298768 has 256 divisors, whose sum is 4365990720
  • The reverse of 707298768 is 867892707
  • Previous prime number is 181

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 54
  • Digital Root 9

Name

Name one billion seven hundred seventy-seven million six hundred seven thousand two hundred fifty-one

Interesting facts

  • 1777607251 has 16 divisors, whose sum is 2339504640
  • The reverse of 1777607251 is 1527067771
  • Previous prime number is 131

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name eight hundred forty-seven million eight hundred thirty thousand eighty

Interesting facts

  • 847830080 has 1024 divisors, whose sum is 12118429440
  • The reverse of 847830080 is 080038748
  • Previous prime number is 103

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 38
  • Digital Root 2