shaaaaane.shane
2022-04-18
limit of x² + 6x- 7 as x approaches – 2
Gulsade Cakmak
Beginner2022-06-06Added 1 answers
=
Substitute x with (-2)
Note: In polynomial functions, if the x-value (here, -2) does not make the expression undefined, limit of that expression is calculated by substituting the variable (x=-2) with given value.
For polynomial functions:
nick1337
Expert2022-07-01Added 777 answers
Split the limit using the Sum of Limits Rule on the limit as x approaches .
Move the exponent from outside the limit using the Limits Power Rule.
Move the term outside of the limit because it is constant with respect to .
Evaluate the limit of which is constant as x approaches .
Evaluate the limits by plugging in for all occurrences of .
Evaluate the limit of x by plugging in for .
Evaluate the limit of by plugging in for .
Simplify the answer.
Simplify each term.
Subtract from .
Subtract from .
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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