Question

Show that lim (|x| +1)= ∞

x→∞

Answer 1

For x>0

Lim$_{x\rightarrow{\infin}}$ (x+1)

Limit = $\infin$

For x<0

Lim$_{x\rightarrow{\infin}}$ (-x+1)

as ${x\rightarrow\infin}$

So

Limit is not defined

Graph for |x| +1

So

$\implies$

Lim$_{x\rightarrow{\infin}}$ (|x|+1)

= $\infin$