Reading One-Sided Limits from a Graph I

Difficulty: Medium · Topics: Calculus, Limits, Graphs

Grafikdan bir tomonlama limitlarni o‘qish I

The graph of y=f(x) is shown below.

graph "x":[-3.7,3.8],"y":[-2.7,2.7],"xTicks":[-3,-2,-1,1,2,3],"yTicks":[-2,-1,1,2],"label":"Piecewise graph of y = f(x) on roughly -3.7 < x < 3.8","items":["type":"ray","from":[-3,-1],"to":[-3.7,-1],"start":"closed","type":"line","from":[-3,1],"to":[-2,2],"start":"open","end":"open","type":"point","at":[-2,0],"type":"line","from":[-2,-2],"to":[-1,-1],"start":"open","end":"closed","type":"line","from":[-1,1],"to":[0,1],"start":"open","end":"closed","type":"line","from":[0,0],"to":[1,-1],"start":"open","end":"open","type":"line","from":[1,-2],"to":[2,-1],"start":"closed","end":"open","type":"line","from":[2,1],"to":[3,2],"start":"closed","end":"open","type":"ray","from":[3,1],"to":[3.8,1],"start":"closed","type":"guide","at":[-3,1],"type":"guide","at":[-3,-1],"type":"guide","at":[-2,2],"type":"guide","at":[-2,-2],"type":"guide","at":[-1,1],"type":"guide","at":[-1,-1],"type":"guide","at":[1,-1],"type":"guide","at":[1,-2],"type":"guide","at":[2,-1],"type":"guide","at":[2,1],"type":"guide","at":[3,2],"type":"guide","at":[3,1]]

Evaluate

lim x→ -2^-( f(x) )/(f(x))+lim x→ -1^+(f( x ))/(f(-x-2)).