The graph depicts a continuous curve on a Cartesian coordinate system with axes. A curve is plotted from left of the graph and ends at point $\left(3,4\right)$(3,4). Another curve is plotted starting from point $\left(3,4\right)$(3,4) to the right. The coordinates of the point is not explicitly labeled on the graph.

Does $\lim_{x\to3}f\left(x\right)$limx→3f(x) exist?

Yes, the limit exists.

No, the limit does not exist.

Hence, find the value of $\lim_{x\to3}f\left(x\right)$limx→3f(x).

Easy

< 1min

Consider the graph of a function, $f\left(x\right)$f(x), shown below.

Easy

< 1min

Consider the graph of a function, $f\left(x\right)$f(x), shown below.

Easy

< 1min

Consider the graph of the function $f\left(x\right)$f(x) shown below.

Easy

< 1min

Outcomes

11.C.LD.1

Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

Find Limits from a Graph or Table of Values

Interactive practice questions

Outcomes

11.C.LD.1

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