Question

a; \(\lim\limits_{x\rightarrow-1}\dfrac{x^5+1}{x^3+1}\)

b; \(\lim\limits_{x\rightarrow a}\dfrac{x^n-a^n}{x-a}\)

c; \(\lim\limits_{x\rightarrow1}\dfrac{x+x^2+.............+x^n-n}{x-1}\)

d; \(\lim\limits_{x\rightarrow1}\dfrac{x^{100}-2x+1}{x^{50}-2x+1}\)

Answer 1

a) lim= - 1/0 = - vô cùng

d) lim x(x^99-2)+1/ x(x^49-2)+1 =lim (x^99-2)/(x^49-2)=1