matthewryan15 matthewryan15
  • 19-09-2021
  • Mathematics
contestada

consider the limit of rational function p(x)l q(x)

consider the limit of rational function pxl qx class=

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Аноним Аноним
  • 19-09-2021

#1

[tex]\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to c}}}\dfrac{p(x)}{q(x)}=\dfrac{0}{1}=0[/tex]

  • The limit tends to 0
  • Hence c=0

[tex]\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to c}}}\dfrac{p(x)}{q(x)}=\dfrac{1}{1}=1[/tex]

  • Here limit tends to 1
  • Hence c=1

[tex]\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to 0}}}\dfrac{p(x)}{q(x)}=\dfrac{1}{0}=\infty[/tex]

  • Here x tends to infty.
  • c=infty

For the fourth one limit also tends to zero

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