Math Problem Statement

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Use the graph of the function f to state the value of each limit, if it exists. (If an answer does not exist, enter DNE.) Given function: f(x) = x√(2 + x^2). Find: (a) lim x→0− f(x), (b) lim x→0+ f(x), (c) lim x→0 f(x).

Solution

It appears that you've uploaded an image related to limits of a function. However, the image does not show the graph of the function, which is necessary to properly solve for the limits. Could you upload the graph as well, or provide any additional details about the function?

The given function is f(x)=2+x2f(x) = \sqrt{2 + x^2}, and I can help you with finding the limits at x=0x = 0, as long as we have more information.

Let me know how you'd like to proceed!

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Math Problem Analysis

Mathematical Concepts

Limits
Continuity
Piecewise Functions

Formulas

lim x→c f(x) = L if lim x→c− f(x) = lim x→c+ f(x) = L

Theorems

Limit Laws
Squeeze Theorem

Suitable Grade Level

College Calculus (First-Year)

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