Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
QUESTION
The sine function is given by the indefinite series: sin(x)=x−x33!+x55!−x77!+… sin(x)=x−x33!+x55!−x77!+… (a) what are the forward and backward errors if we approximate the sine function
The sine function is given by the indefinite series: sin(x)=x−x33!+x55!−x77!+… sin(x)=x−x33!+x55!−x77!+… (a) what are the forward and backward errors if we approximate the sine function by using only the first term of the series, i.e., sin(x)≈xsin(x)≈x , for x=0.1,0.5x=0.1,0.5 and 1.01.0 ? (b) what are the forward and backward errors if we approximate the sine function using the first two terms of the series, i.e., sin(x)≈x−x33!sin(x)≈x−x33! for x=0.1,0.5x=0.1,0.5 and 1.01.0 ?
