[2024/05/18] Not a telescoping series (lemmy.world)
It is not
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It is not
Consider the function defined by y = x^(sin(x)^sin(x)). Observe its graph. Find an increasing function which passes through each of its local maximums, and another increasing function which passes through each of its local minimums....
I’ve even got a starter question to get you guys into the scenario....
Show that the infinite multiplication (1+1/1)(1+1/2)(1+1/3)… does not converge.
Show that if a function is differentiable for an interval, it is continuous over that interval....
(x/5)^log_b(5) - (x/6)^log_b(6) = 0
Express y in terms of x for differential equation dy/dx=ylny...
Show that it’s possible a^b=c where a and b are irrational, and c is rational....
Show that the sum of the first n squares is n(n+1)(2n+1)/6....
An 8x5 rectangle. If the bottom left corner is considered (0, 0), then two lines are drawn within the rectangle, from (0, 4) to (8, 1) and from (1, 5) to (7, 0). The smaller two regions of the four these lines cut the rectangle into are shaded. What is their combined area?
Index of my unnamed series of posted problems...
Evaluate SUM(1/(n + n^2)) from n = 1 to infty
Show that arcsin y = arccos x is the equation of a circle....
https://lemmy.world/pictrs/image/f11cca27-0ebc-45cb-b153-24230d76a574.png...
Solve x for x^x*x^x^ = 2...
Prove L’Hopital’s rule, nothing fancy.
Find x for x^x^x^x^x^… = 2
Prove that the sum of the reciprocals of the Fibonacci numbers up to infinity converges to a finite value.
Find ∫e^x sinx dx.
Active series...
Index of Siri’s Challenges...
Proof that the infinite sum 1+2+3+4+… = -1/12...