Euler's method uses the derivative to approximate how much the function changes over a small interval. Since y'(x) = dy/dx, we can estimate the derivative at x = 1 as: y'(1) ≈ (y(1.5) - y(1)) / (1....

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In piecewise-defined functions like this, we need to check both the left-hand limit and the right-hand limit. If the two one-sided limits are equal, then the limit exists. If they are different, th...

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3. Limits of piecewise functions - Calculus A/B | Question on finding one sided limits