Limits by direct substitution Calculator

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Example

Created on 2024-06-20Asked by Mason King (Solvelet student)

Evaluate

\lim_{x \to 3} (2x + 5)

using direct substitution.

Solution

To evaluate

\lim_{x \to 3} (2x + 5)

using direct substitution, we simply substitute

x = 3

into the expression:

\lim_{x \to 3} (2x + 5) = 2(3) + 5 = 6 + 5 = 11

Therefore, the limit is:

11

Solved on Solvelet with Basic AI Model

Some of the related questions asked by Elijah Rivera on Solvelet

1. Find

\lim_{x \to 2} \frac{x^2 - 4}{x - 2}

by direct substitution,2. Determine

\lim_{x \to 0} \frac{\sqrt{x + 1} - \sqrt{x - 1}}{x}

by double rationalization.,

DefinitionLimt by Direct Substitution CalculatorA Limits by Direct Substitution Calculator finds the limit of a function at a point by putting the value in the function directly if the function is continuous at that point. Example:Evaluate ( \lim_{{x \to 3}} (2x + 5) ) This is done using substitution directly : [ 2(3) + 5 = 11 ] Hence, ( \lim_{{x \to 3}} (2x + 5) = 11 ).

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