Practice Problems: Maclaurin Polynomials (x=0)
Practice Questions
1. Find the Maclaurin polynomial of degree 3 for f (x) = ex .
2. Find the Maclaurin polynomial of degree 4 for f (x) = sin x.
3. Find the Maclaurin polynomial of degree 4 for f (x) = cos x.
4. Approximate e0.1 using the degree 2 Maclaurin polynomial.
5. Approximate sin(0.2) using the degree 3 Maclaurin polynomial.
6. Find the Maclaurin polynomial of degree 3 for f (x) = ln(1 + x).
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7. Find the Maclaurin polynomial of degree 3 for f (x) = 1−x
.
8. Approximate cos(0.1) using the degree 2 Maclaurin polynomial.
9. Find the Maclaurin polynomial of degree 5 for f (x) = e−x .
10. Find the Maclaurin polynomial of degree 3 for f (x) = tan−1 (x).
11. Approximate ln(1.1) using the degree 2 Maclaurin polynomial.
12. Find the Maclaurin polynomial of degree 4 for f (x) = sinh x.
13. Find the Maclaurin polynomial of degree 4 for f (x) = cosh x.
14. Approximate e0.5 using the degree 3 Maclaurin polynomial.
√
15. Find the Maclaurin polynomial of degree 3 for f (x) = 1 + x.
16. Approximate tan−1 (0.1) using the degree 3 Maclaurin polynomial.
17. Find the Maclaurin polynomial of degree 4 for f (x) = sin(2x).
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18. Find the Maclaurin polynomial of degree 4 for f (x) = ex .
19. Approximate cos(0.3) using the degree 4 Maclaurin polynomial.
20. Find the Maclaurin polynomial of degree 5 for f (x) = ln(1 + x).
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Practice Questions
1. Find the Maclaurin polynomial of degree 3 for f (x) = ex .
2. Find the Maclaurin polynomial of degree 4 for f (x) = sin x.
3. Find the Maclaurin polynomial of degree 4 for f (x) = cos x.
4. Approximate e0.1 using the degree 2 Maclaurin polynomial.
5. Approximate sin(0.2) using the degree 3 Maclaurin polynomial.
6. Find the Maclaurin polynomial of degree 3 for f (x) = ln(1 + x).
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7. Find the Maclaurin polynomial of degree 3 for f (x) = 1−x
.
8. Approximate cos(0.1) using the degree 2 Maclaurin polynomial.
9. Find the Maclaurin polynomial of degree 5 for f (x) = e−x .
10. Find the Maclaurin polynomial of degree 3 for f (x) = tan−1 (x).
11. Approximate ln(1.1) using the degree 2 Maclaurin polynomial.
12. Find the Maclaurin polynomial of degree 4 for f (x) = sinh x.
13. Find the Maclaurin polynomial of degree 4 for f (x) = cosh x.
14. Approximate e0.5 using the degree 3 Maclaurin polynomial.
√
15. Find the Maclaurin polynomial of degree 3 for f (x) = 1 + x.
16. Approximate tan−1 (0.1) using the degree 3 Maclaurin polynomial.
17. Find the Maclaurin polynomial of degree 4 for f (x) = sin(2x).
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18. Find the Maclaurin polynomial of degree 4 for f (x) = ex .
19. Approximate cos(0.3) using the degree 4 Maclaurin polynomial.
20. Find the Maclaurin polynomial of degree 5 for f (x) = ln(1 + x).
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