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Let fn(x) = nx/1 + nx2
(d) Is the convergence uniform on (1,∞)?
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Solved in 2 steps
- For sequence of functions {nxe-nx} for x ∈ (0 + 1), what is the uniform norm of fn (x) - f(x) on (0 + x). is the sequence uniformly convergent?Find the lower bound for the radius of convergence for(x2 + 6x+ 10)y′′+ (x2 −4)y′+ x2y= 0 about x0 = 0fn(x) = { n2x for 0<=x<= 1/n, -n2x + 2n for 1/n<= x<= 2/n, 0 for 2/n<= x<= 1., is uniformly convergent on [0,1].?
- Let fn(x) = x^n for x ∈ [0,1]. check if it is pointwise convergence. Define where it becomes discontinuous.ASAP Donotcopy fn(x) = { n2x for 0<=x<= 1/n, -n2x + 2n for 1/n<= x<= 2/n, 0 for 2/n<= x<= 1., is uniformly convergent on [0,1].?Find the pointwise limit f(x) for {nxe-nx} for x ∈ (0, +inf)). Does the sequence converge uniformly for x ∈ (0, +inf))? If yes, what is the uniform norm of fn(x)-f(x) on (0, +inf)?