Determine if the function is continuous or not (using the definition) at the given z value....

  

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Determine if the function is continuous or not (using the definition) at the given z value. Then, Use the limit definition of the derivative to determine if the following functions are differentiable at the given point.( (a) g(x)=52+4 when r = 12 (b) f(r)= 2+ +3 r1 4x + 1 z>1 (c) f(z) = (2+ +3 r 4r +1 z>l (d) f(x) = when r = 0 (2+3 z1 4x+1 r>1 when z = 3 when r = 1 (e) h(x) = 1r-4| when z = 4 Determine if the function is continuous or not (using the definition) at the given z value. Then, Use the limit definition of the derivative to determine if the following functions are differentiable at the given point.( (a) g(x)=52+4 when r = 12 (b) f(r)= 2+ +3 r1 4x + 1 z>1 (c) f(z) = (2+ +3 r 4r +1 z>l (d) f(x) = when r = 0 (2+3 z1 4x+1 r>1 when z = 3 when r = 1 (e) h(x) = 1r-4| when z = 4