# Evaluate limit as x approaches infinity of square root of 49x^2+x-7x

Multiply the argument of the limit by the conjugate.
Factor out of .
Factor out of .
Raise to the power of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Raise to the power of .
Factor out of .
Factor out of .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Combine the opposite terms in .
Reorder the factors in the terms and .
Subtract from .
Simplify each term.
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify.
Apply the distributive property.
Rewrite using the commutative property of multiplication.
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Multiply by .
Multiply by .
Combine the opposite terms in .
Subtract from .