The problem asks for the limit as x approaches -2 of the linear expression 3x + 7. A key fact: linear functions are continuous everywhere, so the limit as x approaches any point equals the function value at that point. We can evaluate directly by substituting x = -2 into the expression: 3(-2) + 7. Compute the product: 3 * (-2) = -6, then add 7: -6 + 7 = 1. Thus, as x gets arbitrarily close to -2, the expression 3x + 7 approaches 1, since there are no discontinuities to cause any jump or undefined behavior. This substitution method works here because the function is a simple polynomial (specifically linear), which guarantees smooth behavior at every x, including x = -2. Therefore, the limit equals the value obtained by direct substitution into the expression.

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Numerical

Find the limit

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The problem asks for the limit as x approaches -2 of the linear expression 3x + 7. A key fact: linear functions are continuous everywhere, so the limit as......Login to view full explanation

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