Question

Find the absolute and relative error of f(x)=e^× where x=0.2345

Answer 1

Answer:

this is very hard question to answer

Answer 2

Answer:

1.0298,  -4.3915

Step-by-step explanation:

Absolute Error = |x − y|

Relative Error = (x − y)/x = 1 − y/x

Here y = f(x)

Now, when x = 0.2345,

then

y

= f(x)

$= e^x\\= e^{0.2345}\\= 1.2643 (approximately)$

So, Absolute Error = |0.2345 - 1.2643| = 1.0298

and Relative Error = 1 - (1.2643 ÷ 0.2345) = -4.3915 (approximately)