Question

lim x- (x^4-625)/(x-5) is​

Answer 1

Answer:

The answer is 500

Step-by-step explanation:

 $\displaystyle \lim_{x\to 5}\frac{x^4-625}{x-5}=\displaystyle \lim_{x\to 5}\frac{x^4-5^4}{x-5}\\=4(5)^{4-1}=4(5)^3=500$

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