Calculus and Above

Calculus Questions? Ask a Mathematician for Answers ASAP

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Hello I was hoping you...

Hello I was hoping you are available to help me with some questions I have

I have 2 hours and 20 mins to get these done. Let me know if you can help. I only need answers, not the whole problems worked out.

I will leave a very generous bonus to whomever can help me out

1)Find the first 2 nonzero terms of the Maclaurin expansion of the given function f(x)=4xe^(4sinx)

2)Give the first 4 terms of the given sequence a_n=3^(n+3)/n!, n=1,2,3

4)Find the first 3 nonzero terms of the taylor expansion for the given function and value of a

7 ln x (a=4)

6)Find the first 5 partial sums of the given series to determine whether the series appears to be convergent or divergent. If it's convergent find its approximate sum

1/11-1/121+1/1331-1/14641+1/161051-...

7)Test the given geometric series for convergence or divergence If it converges find the sum

1-3/5+9/25-27/125+...+(-3/5)^n+...

Does the series converge? yes or no

If the series is convergent find its sum

8)Find the first 3 terms of the expansion for e^xsinx by multiplying the proper expansions together term by term

e^xsinx~

9)Find the first 3 nonzero terms of the maclaurin expansion of the given function f(x)=e^xsinx

13)Explain why e^x>1+x+1/2x^2

I have 2 hours and 20 mins to get these done. Let me know if you can help. I only need answers, not the whole problems worked out.

I will leave a very generous bonus to whomever can help me out

1)Find the first 2 nonzero terms of the Maclaurin expansion of the given function f(x)=4xe^(4sinx)

2)Give the first 4 terms of the given sequence a_n=3^(n+3)/n!, n=1,2,3

4)Find the first 3 nonzero terms of the taylor expansion for the given function and value of a

7 ln x (a=4)

6)Find the first 5 partial sums of the given series to determine whether the series appears to be convergent or divergent. If it's convergent find its approximate sum

1/11-1/121+1/1331-1/14641+1/161051-...

7)Test the given geometric series for convergence or divergence If it converges find the sum

1-3/5+9/25-27/125+...+(-3/5)^n+...

Does the series converge? yes or no

If the series is convergent find its sum

8)Find the first 3 terms of the expansion for e^xsinx by multiplying the proper expansions together term by term

e^xsinx~

9)Find the first 3 nonzero terms of the maclaurin expansion of the given function f(x)=e^xsinx

13)Explain why e^x>1+x+1/2x^2

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