For functions , , and , determine the limit of the function as approaches 2 and the continuity of the function at given:

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The Praxis Mathematics (5165 ) Exam is a test required by many states for credential candidates planning to teach mathematics at the high school level. It is a single, computer-delivered test that includes questions from two content categories.

The first content category includes Number and Quantity, Algebra, Functions and Calculus. The second content category includes Geometry, Probability and Statistics, and Discrete Mathematics.

The test consists of various question types including selected-response, numeric entry, drag-and-drop and text completion.


For functions <img src='https://www.fatskills.com/images3/praxismath/image_017_072.png'/>, <img src='https://www.fatskills.com/images3/praxismath/image_017_075.png'/>, and <img src='https://www.fatskills.com/images3/praxismath/image_017_178.png'/>, determine the limit of the function as <img src='https://www.fatskills.com/images3/praxismath/image_017_007.png'/> approaches 2 and the continuity of the function at <img src='https://www.fatskills.com/images3/praxismath/image_017_163.png'/> given:<img src='https://www.fatskills.com/images3/praxismath/image_017_179.png'/>