87.7/ 2. Hints: for each part listed below, I have indicated a tool that is
relevant to analyzing the limit in question.  The indicated tool may
be just one step in a multi-step analysis. Note that some tools can
never show conclusively that a limit exists; they are either inclusive
or show that a limit *fails* to exist.  Thus, some of the hints below
also provide hints as to the answer. 

(i) continuity argument

(ii) composition rule

(iii) composition rule

(iv) limits along power curves

(v) squeeze principle

(vi) composition rule

(vii) limits along straight lines

(viii) squeeze principle.





87.7/ (i), (ii), (v).  None of these limits exists.