Question 1206652
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I will try to explain you that the problem is logically defective.



The given part about the limit of  {{{f(x)/(x+2)}}}  at the point  -2  brings/carries some information
about behavior  f(x)  in vicinity of  x= -2.



The other given part about the limit of  {{{f(x)/(2x-1)}}}  at the point  1/2  brings/carries some information
about behavior  f(x)  in vicinity of  x= 1/2.



Then the question asks about behavior of  f(x)  in vicinity of the point  x= -1.



But function  f(x)  can be,  in general case,  NOT  DEFINED  in vicinity of  x= -1,  at all.



THEREFORE,  in general case,  without having/making additional hypotheses/suggestions 

about function  f(x),  we can not make any conclusions about its behavior in vicinity of  x= -1.



The conclusion is that the problem,  as it is posed in the post,  MAKES  no  SENSE,

i.e., in plain language,  is  NONSENSE.



                        TOTAL,   GLOBAL   and   FATAL   nonsense.