Find the limit of a function or prove that it does not exist.

Question

lim x--> ∞ (4x - 1 )/ (√x² + 2)

Answer 1

lim x--> ∞ (4x - 1 )/ (√x² + 2)

=lim x--> ∞ x(4-(1/x))/x√(1+(2/x^2))

=lim 1/x--> 0 (4-(1/x))/√(1+(2/x^2))

=(4-0)/√(1+0)

=4