QUESTION 3 [5 Marks] By using the substitution r = t² determine the convergence of dr S₁ (x + 1)√x* QUESTION 4 [11 Marks

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Question 3 5 Marks By Using The Substitution R T Determine The Convergence Of Dr S X 1 X Question 4 11 Marks 1 (28.46 KiB) Viewed 34 times

QUESTION 3 [5 Marks] By using the substitution r = t² determine the convergence of dr S₁ (x + 1)√x* QUESTION 4 [11 Marks] (a) Test the convergence of the series given by (r+1)! r!(er) r=1 [5 marks] (b) Obtain 3 non zero terms of the Maclaurins series for sin² r. Hence, evaluate 0.5 sin² r [0³: dr. [5 marks] /0 x² Give your answer correct to 4 decimal places. [6 marks]