Taylor polynomials . work out the following ?

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1 Answer
Apr 16, 2018

#10#

Explanation:

#"using the definition of the "color(blue)"binomial coefficient"#

#•color(white)(x)^nC_r=(n!)/(r!(n-r)!)#

#"where "n! =n(n-1)(n-2)...xx3xx2xx1#

#rArr^5C_2=(5!)/(2!3!)#

#color(white)(xxxxx)=(5xx4xxcancel(3xx2xx1))/(2xx1xxcancel(3xx2xx1))=20/2=10#