Please help me with these questions. Thank you.

For the "choose the correct option for each sentence". The given options are: removable, jump, infinite, oscillating

Choose the correct option for each sentence. (a) The function f(x) = tan-1 () has [ Select ] discontinuity at z=0. 2x (b) The function g(z) = has [ Select ] discontinuity at = =0 gin r (c) The function h(z) = In|x| has [ Select ] discontinuity at x=0 . (d) The function r(x) = cos [ Select ] - 2 has discontinuity at z=0 .Suppose that g() f(z) Sh(z) for all t's near =c, and that lim g() = K , lim f(I) = M and lim h(r) = N The Sandwich Theorem says that... OK=M=N . OK