Teaching EMRS PGT Mock Test 2023 Mathematics Limit and Continuity Evaluation of Limits

If \(G\left( x \right) = - \sqrt {25 - {x^2}} \) then \(\mathop {\lim }\limits_{x \to 1} \frac{{G\left( x \right) - G\left( 1 \right)}}{{x - 1}}\) has the value

1
\(\frac{1}{{\sqrt {24} }}\)
2
1/5
3
\( - \sqrt {24} \)
4
None of these
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