Use l'Hopital's Rule to evaluate `lim_(x to oo)(2x^2-6x)/(5x^2+8)`. Then determine the limit using limit laws and commonly known limits.

Use l'Hopital's rule to rewrite the given limit so that it is not an indeterminate form.

`lim_(x to oo)(2x^2-6x)/(5x^2+8)=lim_(x to 2)(`   `)`

Choose the limit equivalent to the given limit that can be evaluated using limit laws and commonly known limits.

The limit found by using either method is `lim_(x to oo)(2x^2-6x)/(5x^2+8)=`  

Hint

Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question

Box 2: Select the best answer

Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity