Question

help with calc please?

Answer 1

linearizaton of e^x+x=2 is e^2x-e^2

Answer 2

and e^x+x = 2x+1

Answer 3

Remember the Maclaurin series for \[e^x = 1 + x + \frac{ x! }{ 2 }+...\]
We can just use the series up to the second term.

1+x+x = 2
1+2x=2
2x=1
x=1/2

For a closer approximation, use more terms from the series.

Answer 4

so the exact answer would be 0.5?

Answer 5

That's not the exact answer. It is an approximation.

Answer 6

hmm cause its telling me to write the 'exact answer' it wont let me use the / sign

Answer 7

okay 0.5 worked :)

Answer 8

ty