Answer
$\lim\limits_{p \to -1}$ $\frac{1+p^{9}}{1+p^{15}}$ = 0.6
Work Step by Step
Use a table of values to estimate the value of the limit:
$\lim\limits_{p \to -1}$ $\frac{1+p^{9}}{1+p^{15}}$
p_____ |_____f(p)
-1.1__| 0.427397
-1.01_| 0.58201
-1.001| 0.598200
-1 $\approx$ 0.6
-0.999| 0.601799
-0.99_| 0.61799
-0.9__| 0.771405
Since the numbers each get closer to 0.6 the estimated value is 0.6.