lim root (4x^2+2)/5x+3

X➡∞

In google type:

math limit calculator online

When you see list of results click on:

Limit Calculator - eMathHelp

When page be open in rectangle type you funcktion and click option CALCULATE

You will see solution step-bystep

By the way square root is write sqrt not just root.

And not clear did you wrote:

sqrt ( 4 x ^ 2 + 2 ) / ( 5 x + 3 )

or

sqrt [ ( 4 x ^ 2 + 2 ) / ( 5 x + 3 ) ]

or

sqrt [ ( 4 x ^ 2 + 2 ) / 5 x ] + 3

or something else