The function f in the given figure satisfies limx2f(x)=5. For each value of , find all values of >0 such that |f(x)-5|< whenever 0<|x-2|<.(a)=2(b)=1(c) For any , make a conjecture about the corresponding value of satisfying the above description.(a) When =2, the values of 8>0 such that |f(x)-5|< whenever 0<|x-2|< satisfy the inequality 0<1.(Type an inequality using as the variable. Simplify your answer.)(b) When =1, the values of >0 such that |f(x)-5|< whenever 0<|x-2|< satisfy the inequality 0<12.(Type an inequality using as the variable. Simplify your answer.)(c) From parts (a) and (b), for any >0, make a conjecture that the values of >0 such that |f(x)-5|< whenever 0<|x-2|< satisfy themo