Limits and Derivatives
1 Board Maths previous year questions on Limits and Derivatives — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
Evaluate the following limits
\(\lim _{x\to 4}\frac{4x+3}{x-2}\) [MP Board2025]
✓ Correct answer: a)
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\(\frac{19}{2}\)
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Explanation
We are given:
\(\underset{x\to 4}{\lim }\frac{4x+3}{x−2}\)
Step 1: Substitute \(x=4\) directly into the expression.
Numerator:
\(4x+3=4(4)+3=16+3=19\)
Denominator:
\(x−2=4−2=2\)
Step 2: Simplify the result.
\(\frac{19}{2}\)
Final Answer:
\(\frac{19}{2}\)
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