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Using the Composition Limit Law, we can compute the last example from the beginning of this section. {{CMD_241}} Compute the following limit using limit laws: {{MATH_242}} {{CMD_243}} We will use the Composition Limit Law. Let {{MATH_244}} where {{MATH_245}}, and {{MATH_246}}. Now, continuity of {{MATH_247}} implies that {{MATH_248}}. Continuity of {{MATH_249}} implies that {{MATH_250}} is continuous at {{MATH_251}}. Now, the Composition Limit Law implies that {{MATH_252}} {{CMD_253}} We can confirm our results by checking out the graph of {{MATH_254}}: {{MATH_255}} {{CMD_256}} {{CMD_257}} {{CMD_258}}

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