Question

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

Answer 1

#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