7. lim _(xarrow infty )(5x^3+3x^2+2)/(3x^2)+9 -

To find the limit of the given expression as approaches infinity, we can use the technique of dividing both the numerator and denominator by the highest power of in the denominator.Given expression: Step 1: Divide both the numerator and the denominator by , the highest power of in the denominator. Step 2: Simplify the expression. Step 3: As approaches infinity, the terms and approach 0. Step 4: Simplify the limit expression. Step 5: As approaches infinity, also approaches infinity. Therefore, the limit of the given expression as approaches infinity is .