Answer to Question #302534 in Real Analysis for Dhruv bartwal

Question

Prove that

lim 1/(x+5)^2 = ∞

x→-5

Answer 1

Solution

To Prove

$\lim_{x\rightarrow -5}\frac{1}{(x+5)^{2}}=\infty$

For the function,

$f(x)=\frac{1}{(x+5)^{2}}$

The table of values is

From the table, we conclude that

$\lim_{x\rightarrow -5}\frac{1}{(x+5)^{2}}=\infty$

The same is shown by the following plot