Question: Let fixed point function F(x) = xe x + x, then will fixed point iteration starting with some point x0 in the interval [ -3,-2]

Let fixed point function F(x) = xe^x + x, then will fixed point iteration starting with some point x0 in the interval [ -3,-2] will converge to a fixed point of F? Can we apply Banach's fixed point theorem? why? or Why not?

Change 3.25 to the floating point representation with 8bit mantissa and 8 bit exponent.

What is the smallest number larger than 3.25 in representing floating point number system. Explain method you used.

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