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Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(...

Let `f(x)={x+1,x >0, 2-x ,xlt=0` and `g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, x-5,xgeq2` Find the LHL and RHL of `g(f(x))` at `x=0` and, hence, find `lim_(x->0)g(f(x)).`

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