BSc Mathematics SEM II 2017 18 2017-18 ATKT MATHS Paper I Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Let be convergent COnverging to a & b respective
   • ii) Ifa IR is fixed and c,, = @ dy then is convergent, converging
2. Q2 Examine convergence of following
   • (b) any three. 4]
3. Q1 Find partial sum and determine if the series converge or diverge efine an absolute convergence of series and prove tha convergent series are convergent
4. Q3 State Leibnitz theorem and examine the convergence of
5. Q4 State Modified root test and examine the convergence of
6. Q2 (a) any one. [each 8]
7. Q1 Define the derivative ofa real valued function fat x an open interval subs show that f is everywhere differentiable on R where > Ras f(x) =x" 7 Differentiate following with respect to x using rules of differe: Find equation of tangent and to the following then prove that cos2x yg + \ttempt any one. [each Theorem and give their Verify Rolle’s Theorem for f State Lagranges Mean ) Attempt any three State L-Hospital’s Rule Find absolute maximum. the given Divide the number 22 in juare Attempt any three. [each 5 Define the following term
   • i) An infinite series Sketch the graph of y =

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