Question

limit x tends to -3 x^7+3^7/x+3

Answer 1

Answer:

The answer is $7(3)^6=5103$

Step-by-step explanation:

$\displaystyle \lim_{x\to -3}\frac{x^7+3^7}{x+3}=\displaystyle \lim_{x\to -3}\frac{x^7-(-3)^7}{x-(-3)}\\=7(-3)^{7-1}=7(-3)^6=7(3)^6=5103$

 Since  $\displaystyle \lim_{x\to a}\frac{x^n-a^n}{x-a}=na^{n-1}$