PYQs Based Test - 07 : Taylor and Fourier Series

Topics Covered

Sample Questions from this Test

1. The infinite series $1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\frac{x^4}{4!}+...$ corresponds to
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2. In the neighbourhood of z = 1, the function f(z) has a power series expansion of the form
   
   𝑓(𝑧) = 1 + (1 − 𝑧) + (1 − 𝑧)² + ...∞
   
   Then f(z) is
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3. Let $f\left(x\right)=e^{x+x^2}$ for real x. From among the following, choose the Taylor series approximation of f(x) around x = 0, which includes all powers of x less than or equal to 3.
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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.
• This is a free practice test. No login required to attempt.