( sin x, x < 0 0 < x s f(x) = {1 - cos x, cos x, x >

Q: Which of the following graphs below show that lim f(x) exists? x-3 34-x i ii iii

A: Limit of a function means the value 'p' function approaches when 'x' approaches 'a'.

Q: What is the value of c?

A: we have to to find the value of 'c'. limx→c+2x+1=0

Q: If f(x) = (1 + 3), find lim f(x). 6x 0-x

A:

Q: Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X→ C f(x) = 5.6 -…

A:

Q: The graph of the function f is shown below. For what value(s) of a does lim,-+a f (x) = 0? x→a 2. 3…

A: The given graph is as follows -  We have to find that for what values of 'a'   the following limit…

Q: Determine the lim g x 4+ 3+ 2+

A: we need to find the limit of g(x) as x tends to 5 in the given graph we see that the g(x) as x tends…

Q: Use the graph to determine the values of a which lim f(x) exists. X-> a

A: The given piecewise function is: f(x)=x3         If x≤-1xIf  -1&lt;x≤2(x-1)2If x&gt;2

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.