Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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However, we observe that the derivative (where it does exist) goes to zero... maybe moving (1) to the hypothesis... Anyway, that was a good example, thank you
uhmm i'm trying to figure out how do you see that f goes to a y0... let's see:
so the c(n) part converges and the x part of course does. Is there a easiest way to see that?
Not true. ƒ may only be piecewise differentiable, not wholly differentiable.
where is chosen so that for continuity. Then if we make by piecing together the functions and their domains, this function satisfies all your given conditions but is not differentiable at any integer value of , where the gradient changes abruptly.
Hi guys, i'm trying to figure out if this is true or not, can you help me?