Question

Compute limit x tends to infinity √( x² + 6 )/ ( 2x² - 1 )​

Answer 1

Answer:

Correct option is

B

a=1,b=−4

limx→∞(x+1x2+x+1−ax−b)=4

⇒limx→∞(x+1x(x+1)+1−ax−b)=4

⇒limx→∞(x+x+11−ax−b)=4

⇒limx→∞(x(1−a)+x+11−b)=4

As the limit is infinite hence its coefficient of x=0

⇒1−a=0 or a=1

⇒limx→∞⎝⎜⎜⎜⎛x(1+x1)1−b⎠⎟⎟⎟⎞=4 since limx→∞x1