Limit Evaluation for Constants (Jee Mains)

Evaluation of Limits

Hard

Limit Evaluation for Constants

If $\mathop {\lim }\limits_{x \to 0} \frac{{{e^{(a - 1)x}} + 2\cos bx + (c - 2){e^{ - x}}}}{{x\,\,\cos x - {{\log }_e}(1 + x)}} = 2,$ then a² + b² + c² is equal to :

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