Exercise 1#

Calculate the taylor series expension of:

b_1 = sp.Integer(np.random.randint(-10,10))

around:

display(sp.Eq(x,c_1))

Fill in your answer and run the cell before clicking ‘Check answer’.

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eq1_answer =

check_answer("eq1_answer",eq1_correct, check_equation)

Exercise 2#

Calculate the taylor series expension of:

eq2_correct = sp.series(eq2_original,x,c_2*sp.pi,3).removeO()

around:

display(sp.Eq(x,c_2*sp.pi))

discard any $O(x^3)$ terms.

Fill in your answer and run the cell before clicking ‘Check answer’. Furthermore, use pi for $\pi$:

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eq2_answer =

check_answer("eq2_answer",eq2_correct, check_equation)

Exercise 3#

Calculate the taylor series expension of:

eq3_correct = sp.series(eq3_original,x,c_3,3).removeO()

around:

display(sp.Eq(x,c_3))

discard any $O(x^3)$ terms.

Fill in your answer and run the cell before clicking ‘Check answer’:

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eq3_answer =

check_answer("eq3_answer",eq3_correct, check_equation)