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The function f: R→R defined by f(x)= | x-1|+ | 3-x| is differentiable at x= 4.
True or false with full explanation
Prove that
lim 1/(x+5)^2 = ∞
x→-5
The function f(x)= [x]- x is not integrable in [ 0,3] , where [ x] denote greatest integer function.
True or false with full explanation
Find
lim [1/(2n+1)^2
+2/(2n+2)^2+3/(2n+3)^2+..3/25n] n→ ∞
The function f(x)= [x]- x is not integrable in [ 0,3] , where [ x] denote greatest integer function.
True or false with full explanation
Prove that
lim 1/(x+5)^2 = ∞
x→-5
Prove that the union of a finite number of open sets is open
Test the series ∞ Σ n=1 (-1)^n-1. 3/(5n-2) for absolute and conditional convergence
The function f(x)= [x]- x is not integrable in [ 0,3] , where [ x] denote greatest integer function.
True or false with full explanation
Find
lim tan x sec^2 x- x/x^3
x→0
