For the function f whose graph is given, state the value of...

For the function f whose graph is given, state the value of the given quantity below. If the quantity does not exist then enter DNE. (a) lim x->0 f(x) (b) lim x->3- f(x) (c) lim x->3+ f(x) (d) lim x->3 f(x) (e) f(3) Note: You can earn partial credit on this problem.

Transcript

00:01 We have a graph of the function and our first question is we need to find the limit of the function as extent to zero right so as we can see here the function is continuous on the interval of minus infinite to three right and the point zero three is on the graph of the function right so here we can write the function f of x is the function is continuous on the interval of minus infinite 3 and the point 03 is on the graph of f of x right so we can write here limit x tends to 0 f of x is equal to 3 right so this is your answer number a now we want to find the left -hand side limit of the function at x x tends to 3 right so as we can see here the left -hand side limit of the function is four so here we can write limit x tends to 3 minus f of x is equal to 4 right so this is going to be your answer number b right now we want to find the right -hand side limit of the function at x tends to 3 so as we can see from the graph the right -hand side limit of the function at x is equal to 3 is 2 right here we have x is equal to 3 right so we can write here limit x tends to 3 plus f of x is equal to 2 right so this is your answer number c now our first question is that we need to find the limit of the function as x tends to 3 but here limit x tends to 3 minus of f of x is not equal to limit x tends to 3 plus f of x right here left -hand side of the limit and the right -hand side of the limit of the function at x is equal to 3 is not equal right which means the limit of the function at x tends to 3 is does not exist right so here we can write limit x tends to 3 f of x is does not exist so you have to enter d n e in the answer box right so this is your answer number d right and here our last question is we want to find the value of f of 3 right so as we can see here there is a close dot at 3 3 right which means the value of f of 3 is equal to 3.

03:50 So this is going to be your answer number e...

Question

For the function f whose graph is given, state the value of the given quantity below. If the quantity does not exist then enter DNE. (a) lim x->0 f(x) (b) lim x->3- f(x) (c) lim x->3+ f(x) (d) lim x->3 f(x) (e) f(3) Note: You can earn partial credit on this problem.

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