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Limits of fuctions as x approaches a constant

When a function f is defined by some expression on some reduced neighborhood of a real number a, if we substitute a into this expression and it makes sense, then the outcome is the limit of f at a.

Look at the sample:



But, as you compute limits of functions as x approaches a constant, you can find several possible solutions:

• The limit is equal to a constant
• The limit is plus or minus infinity
• The limit does not exit

Try to compute the following limits:

Compute:

Solution: