Three Limits from a Graph
Difficulty: Easy · Topics: Calculus, Limits, Graphs
Grafikdan uchta limit
The graph of y=f(x) is shown below.
graph "x":[-0.35,4.0],"y":[-0.7,3.6],"xTicks":[1,2,3],"yTicks":[1,2,3],"label":"Graph of y = f(x): a decreasing curve to a filled point at (1,2), a V from an open point at (1,1) through (2,0) to a filled point at (3,1), and a steep line from an open point at (3,3)","items":["type":"curve","points":[[0.42,3.381],[0.46,3.174],[0.5,3.0],[0.54,2.852],[0.58,2.724],[0.62,2.613],[0.66,2.515],[0.7,2.429],[0.74,2.351],[0.78,2.282],[0.82,2.22],[0.86,2.163],[0.9,2.111],[0.94,2.064],[0.98,2.02]],"start":"arrow","end":"closed","type":"line","from":[1,1],"to":[2,0],"start":"open","type":"line","from":[2,0],"to":[3,1],"end":"closed","type":"line","from":[3,3],"to":[3.6,-0.6],"start":"open","type":"guide","at":[1,2],"type":"guide","at":[1,1],"type":"guide","at":[3,3],"type":"guide","at":[3,1],"type":"label","at":[3.3,3.45],"text":"y = f(x)"]
Find
lim x→ 1^-f(x)+lim x→ 3^+f(x)+lim x→ 2f(x).
y=f(x) ning grafigi quyida ko‘rsatilgan.
graph "x":[-0.35,4.0],"y":[-0.7,3.6],"xTicks":[1,2,3],"yTicks":[1,2,3],"label":"Graph of y = f(x): a decreasing curve to a filled point at (1,2), a V from an open point at (1,1) through (2,0) to a filled point at (3,1), and a steep line from an open point at (3,3)","items":["type":"curve","points":[[0.42,3.381],[0.46,3.174],[0.5,3.0],[0.54,2.852],[0.58,2.724],[0.62,2.613],[0.66,2.515],[0.7,2.429],[0.74,2.351],[0.78,2.282],[0.82,2.22],[0.86,2.163],[0.9,2.111],[0.94,2.064],[0.98,2.02]],"start":"arrow","end":"closed","type":"line","from":[1,1],"to":[2,0],"start":"open","type":"line","from":[2,0],"to":[3,1],"end":"closed","type":"line","from":[3,3],"to":[3.6,-0.6],"start":"open","type":"guide","at":[1,2],"type":"guide","at":[1,1],"type":"guide","at":[3,3],"type":"guide","at":[3,1],"type":"label","at":[3.3,3.45],"text":"y = f(x)"]
Toping:
lim x→ 1^-f(x)+lim x→ 3^+f(x)+lim x→ 2f(x).