Límites Inmediatos. Ejemplo 1.

Study of Immediate Limits

Introduction to Immediate Limits

• The video begins with Profe Gabriel introducing the topic of immediate limits, explaining that solving them involves substituting the value that the variable x approaches into the given function.

Example Problem: Limit as x Approaches 1/2

• The first exercise presented is to find the limit of the function 33x/2 - x as x approaches 1/2 .

• Gabriel explains that substitution is performed by replacing x with 1/2 , leading to a series of calculations involving fractions and whole numbers.

Calculation Steps

• The calculation continues with converting integers to fractions for consistency. For example, converting 2 into halves results in expressions like 4/2 - 1/2 = 3/2.

• In the numerator, similar transformations are made where whole numbers are converted into halves, allowing for easier addition and simplification.

Final Result

• After performing all operations and simplifying both numerator and denominator, Gabriel concludes that the limit evaluates to a final result of 3.