Consider a neuron with a single input, x, a corresponding weight, w1, a bias b, and a weight w2 on the output. Show that by choosing the weights and bias appropriately, we can ensure w2σ(w1x+b)≈x for x∈[0,1]. Such a neuron can thus be used as a kind of identity neuron, that is, a neuron whose output is the same (up to scaling by a weight factor) as its input. Hint: It helps to rewrite x=1/2+Δ, to assume w1 is small, and to use a Taylor series expansion in w1Δ.