Question #0272d

1 Answer
Jim S
Jan 3, 2018

#lim_(xrarr1)(x^2+x-2)/(x^5-1)# #=# #3/5#

Explanation:

#lim_(xrarr1)(x^2+x-2)/(x^5-1)# #=#

#lim_(xrarr1)(cancel((x-1))(x+2))/(cancel((x-1))(x^4+x^3+x^2+x+1))# #=#

#lim_(xrarr1)(x+2)/(x^4+x^3+x^2+x+1)# #=#

#3/5#

, note: #a^n-b^n=(a-b)(a^(n-1)+a^(n-2)b+...+ab^(n-2)+b^(n-1))#

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