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" 6."lim(x rarr alpha)(x sin alpha-alpha...

" 6."lim_(x rarr alpha)(x sin alpha-alpha sin x)/(x-alpha)

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lim_(x rarr oo)(sin alpha-alpha sin x)/(x-alpha)

sin3 alpha=4sin alpha sin(x+alpha)sin(x-alpha)

sin 3 alpha = 4 sin alpha sin(x + alpha) sin(x-alpha)

lim_(x rarr00)(sin alpha x)/(sin beta x)=(alpha)/(beta)

lim_(x rarr2)((cos alpha)^(x)+(sin alpha)^(x)-1)/(x-2)

sin3alpha = 4 sin alpha sin(x+alpha)sin(x-alpha)

The value of lim_(x rarr0)(sin alpha x-sin beta x)/(e^(alpha x)-e^(beta x))

The value of lim_(x rarr0)(sin alpha x+sin beta x)/(e^(alpha x)-e^(beta x)) equals