Question

limit question as x approaches sqrt(x^2+1) find the limit

Answer 1

as x approaches 3? 0? \(\infty)?

Answer 2

as x approaches infinity

Answer 3

sqrt(x^2+1)

Answer 4

as x gets larger, so does \(\sqrt{x^2+1}\)

Answer 5

so \(\infty\)

Answer 6

so the answer is just infinity?

Answer 7

of course
\(x\) gets bigger, \(x^2+1\) gets bigger, \(\sqrt{x^2+1}\) gets bigger
think of what the graph looks like
after a while it just looks like the line \(y=x\)

Answer 8

hmmm thanks