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lim_{h → 0} [((a + h)² sin(a + h) - a² sina ) / h]

= lim_h→0 [(a² + h² + 2ah)(sina cosh + cosa sinh) - a² sina] / h

= lim_h→0 [(a² sina (cosh - 1))/h + (a² cosa × sinh)/h + (h + 2a)(sina cosh + cosa× sinh)]

= lim_h→0 [a² sina (0) + a² cosa (1) + 2a sina]

= a² cosa + 2a sina

"}}]}]]}]

Evaluate: limh→0 [((a + h)2 sin(a + h) - a2 sin a ) / h]

Verified Answer

Evaluate: lim_h→0 [((a + h)² sin(a + h) - a² sin a ) / h]