Question 1206652
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The limit as x approaches -2 (from either direction) of f(x)/(x+2) is 5.<br>
The limit as x approaches 1/2 (from either direction) of f(x)/(2x-1) is 15/4.<br>
And since we are asked to find the limit of f(x)/(x+1) as x approaches -1 (from either direction) we can assume that that limit exists.<br>
These conditions of the problem suggest that we have a rational function that has "holes" in the graph at x=-2, x=1/2, and x=-1; that function will be of the form<br>
{{{((x+2)(2x-1)(x+1)(g(x)))/((x+2)(2x-1)(x+1))}}}<br>
for some unknown function g(x).<br>
But the problem tells us nothing about that g(x), so we don't have enough information to work the problem.<br>