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Ber [7]
2 years ago
9

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

Mathematics
1 answer:
Helga [31]2 years ago
8 0

#1

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

  • The limit tends to 0
  • Hence c=0

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

  • Here limit tends to 1
  • Hence c=1

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

  • Here x tends to infty.
  • c=infty

For the fourth one limit also tends to zero

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Log explanation below; answer is at bottom.

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