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Grade 11Algebra

Please answer to the question attached as soon as possible.

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Profile image of supraja venkatraman
7 Years agoGrade 11
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Profile image of Arun
ApprovedApproved Tutor Answer7 Years ago
 
Clearly this is (ex)2
which can be written as e2x by law of exponents
 
replacing x with 2x in infinite series of e^x
 
1+(2x/1!) + ((2x)2 /2!) + ((2x)3 /3!) + ….
 
we get the coefficient of n’th term of this expansion as ((2x)n)/n! which can also be written as 2nxn/n!