Given: f(x)= x) = { 2, if[x] is even is odd C. and g(x)=f() *Probably you...

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Given: f(x)= x) = { 2, if[x] is even is odd C. and g(x)=f(²) *Probably you will want to start by investigating both functions at a bunch [10 or 20 or 30] of various x-values! a. Sketch g(x) on the x values between 0.175 and 2.5 (or expand beyond that interval if you want) b. Calculate g (%), lim g(x) and lim g(x) Find lim g(x). No proof necessary, use your graph as justification. x-0* d. Find and prove lim [x.g(x)]. The Squeeze Theorem may be handy. +0<--x Given: f(x)= x) = { 2, if[x] is even is odd C. and g(x)=f(²) *Probably you will want to start by investigating both functions at a bunch [10 or 20 or 30] of various x-values! a. Sketch g(x) on the x values between 0.175 and 2.5 (or expand beyond that interval if you want) b. Calculate g (%), lim g(x) and lim g(x) Find lim g(x). No proof necessary, use your graph as justification. x-0* d. Find and prove lim [x.g(x)]. The Squeeze Theorem may be handy. +0<--x