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Prove that a non-decreasing (resp. non-increasing) sequence which is not
bounded above (resp. bounded below) diverges to +∞ (resp. to −∞).
Prove that a sequence that diverges to +∞ (resp. −∞) is divergent according
to the previous definition.
Let {an} ∞n=1 be a non-decreasing (resp. non-increasing) sequence which converges to a. Then prove that an ≤ a (resp. a ≤ an) for every n ∈ N.
A sequence is bounded if and only if it is both bounded above and bounded
below.
Please help with how you calculate directional derivative
In this question, given the function f(x,y,z,w)= [x^2y+zw, y^2z+xw, xyzyw] find the differential df and the directional derivative at [-1,0,1,2]
Find the vertical and horizontal asymptotes of the graph of f(x)=3x+1/x^2-4. plot the graph of function and asymptotes
The derivate of inv function of f:|0,1 |➡️R f(x) =xe^x at x=0.5 is
Evaluate the integral of dx/1+e^x from -1 to 0
Evaluate the integral of (sec a tan a/(√e^(seca))) da from 0 to π/3
Evaluate the integral of (e^-x+e^x)² dx from 0 to 1
