With f , g , h as in Q14, evaluate lim x → 7 lim n → ∞ h ( f ( x )) [ g ( h ( x )) ] 2 n + 1 .

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MathematicsFunctionsCompositeHard3 minQB

MathematicsHardsingle choice

With $f, g, h$ as in Q14, evaluate $lim_{x \to 7} lim_{n \to \infty} \frac{[ g ( h ( x )) ] ^{2 n} + 1}{h ( f ( x ))}$ .

Answer:

Solution:

$g (h (x)) = x - 7$ and $h (f (7)) = 9$ , giving 1/9.

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Composite

⏱ 3mℹ️ Source: QB

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