Given that \> \displaystyle \lim_{x \rightarrow +\infty} f(x) = -6 , \> \displaystyle \lim_{x \rightarrow +\infty} g(x) = 2 , \> \displaystyle \lim_{x \rightarrow +\infty} h(x) = -7 , find the following limits

Enter** inf ** for \infty , ** -inf ** for -\infty ,
and ** DNE ** if the limit does not exist.

(a)\> \displaystyle \lim_{x \rightarrow +\infty} [f(x) +9 g(x)]\>

(b)\> \displaystyle \lim_{x \rightarrow +\infty} [f(x) g(x)]\>

(c)\> \displaystyle \lim_{x \rightarrow +\infty} \frac {10} {g(x)}\>

(d)\> \displaystyle \lim_{x \rightarrow +\infty} \frac {6 h(x) + 3} {x^2}\>

Enter

(a)

(b)

(c)

(d)

You can earn partial credit on this problem.