Question 1

Not complete
Marked out of 4.00

Question text

Given the sequence of functions f subscript n left parenthesis x right parenthesis equals fraction numerator x times 3 to the power of n over denominator n times x squared times 3 to the power of n plus 1 end fraction space space n element of natural numbers space space x element of open square brackets 0 comma 1 close square brackets

a) The pointwise limit is f left parenthesis x right parenthesis equals
b) Compute

integral subscript 0 superscript 1 f subscript n left parenthesis x right parenthesis dx =

integral subscript 0 superscript 1 limit as n rightwards arrow infinity of f subscript n left parenthesis x right parenthesis dx =


c) Comparing the results, is the sequence uniformly convergent? (Y/N):




Attempt options
Display options