let f(x)=(√(1+2x^2 )) −x(√2) +3
1) calculate lim_(x→+∞) f(x) and lim_(x→−∞) f(x)
2)calculate lim_(x→+∞) ((f(x))/x) and lim_(x→−∞) ((f(x))/x)
3)give the assymtote to graph C_f
4) give the assymtote to C_f at point A(0,f(0))
5) find f^(−1) (x) and calculate (f^(−1) )^′ (x)
6) calculate ∫_0 ^1 f(x)dx.
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