Question

Evaluate

lim ( x + 5)5( is a power) - 1 / x
x→0

Answer 1

(0+5)5[power]-1/0= (5)5(power)-0
25-0= 25

Answer 2

Using a a/1 , convert the expression into fraction,

(x+5)^5/1 -1/x

expand the factor to get the least common denominator,

x*(x+5)^5/x*1 - 1/x

x*(x+5)^5/x - 1/x

Write all numerator above the common denominator,

x*(x+5)^5-1/x. Ans.

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