Question 2 of 70beginner🔧 ApplyNumerical1 mark

Evaluate the following limits in Exercises 1 to 22. lim⁡x→π(x−227)\lim_{x \to \pi} \left( x - \frac{22}{7} \right)

Correct Answer

π−227\pi - \frac{22}{7}

Exercise: EXERCISE 12.1 | Q: 2 | (Page Page 21)
For More Understanding

Explanation

This is a straightforward limit of a polynomial function. From the context, we see in example (i) that for polynomial/rational functions, we can directly substitute the value that x approaches. The function f(x) = x - 22/7 is a linear polynomial, so the limit as x approaches π is simply the value of the function at x = π.

Solution Steps

  1. Step 1: Identify the function as f(x) = x - 22/7, which is a linear polynomial function.

  2. Step 2: For polynomial functions, apply direct substitution: lim(x→π)(x - 22/7) = π - 22/7.

  3. Step 3: The final answer is π - 22/7 (this cannot be simplified further as π is irrational).

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