For the following function, find the Taylor series centered at x=7 and give the first 5 nonzero terms of the Taylor series. Write the interval of convergence of the series. f(x)=ln(x) f(x)= +∑n=1[infinity] f(x)= + + + + +⋯

The interval of convergence is:

Step-by-step explanation:

Remember that the general formula for Taylor series is centered around  

is given by

For this case we have that   .  Therefore remember that

Therefore

step-by-step explanation:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.