f(x) = {{:((a^(sin x)-a^(tanx))/(tan x-sin x), "for",x gt 0),((ln(1+x+x^(2))+ln(1-x+x^(2)))/(sec x - cos x), "for", x lt 0):} if f is continous at x=0, find 'a'. Now if g(x) = ln(2-x/a) cot(x-a) for x ne a, a ne 0, a gt 0. If g is continous at x=a then show that g(e^(-1)) = -e.

f(x) = {{:((a^(sin x)-a^(tanx))/(tan x-sin x), "for",x gt 0),((ln(1+x+

1.	f(x) = {{:((a^(sin x)-a^(tanx))/(tan x-sin x), "for",x gt 0),((ln(1+x+x^(2))+ln(1-x+x^(2)))/(sec x - cos x), "for", x lt 0):} if f is continous at x=0, find 'a'. Now if g(x) = ln(2-x/a) cot(x-a) for x ne a, a ne 0, a gt 0. If g is continous at x=a then show that g(e^(-1)) = -e.
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f(x) = {{:((a^(sin x)-a^(tanx))/(tan x-sin x), "for",x gt 0),((ln(1+x+x^(2))+ln(1-x+x^(2)))/(sec x - cos x), "for", x lt 0):} if f is continous at x=0, find 'a'. Now if g(x) = ln(2-x/a) cot(x-a) for x ne a, a ne 0, a gt 0. If g is continous at x=a then show that g(e^(-1)) = -e.

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