ICE 1

1. Start a script that assigns the integer 123456789012345678901234567890 to a variable a. How many digits is that? What is $$2^64$$?
2. Make a function called f that maps x to 1+x-x. What is f(1)? What is f(1e10)? What is f(1e20)?
3. Make a function called dq that evaluates the difference quotient that estimates the derivative of $$g(x)=x^2$$ at 1 for a given step $$h$$ In other words, the function should be $$\text{dq}(h) = \frac{(1+h)^2-1^2}h.$$ Evaluate $$\text{dq}(0.1)$$, $$\text{dq}(10^{-8})$$, $$\text{dq}(10^{-12})$$, and $$\text{dq}(10^{-16})$$.

Assignment 3 is posted.

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