PYQs Based Test - 24 : Taylor and Laurent's Series

Topics Covered

Sample Questions from this Test

1. In the Laurent series expression of $f\left(z\right)=\frac{1}{\left(z-1\right)\left(z-2\right)}$ valid for 0 < |z - 1|< 1, the co-efficient of $\frac{1}{\left(z-1\right)}$ is
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2. Statement (I): f(z) = sinz can be expanded at $\mathrm{z}=\pi /4$ by using Laurent series
   
   Statement (I): $f\left(z\right)=\frac{1}{z+4}$ can be expanded by Taylor’s series in a valid region, 1 < |z| < 3
   
   Which of the statements are true
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3. Using McLaurin’s series expansion, the value of log (sec x) is
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
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