Informally proving that lim x-->1 (x^3-x^2+x)=1 let e>0 be arbitrary. Choose δ=min(e/m,1) Determine the least possible whole number m such that delta is of the indicated form.

How many real and imaginary solutions does the equation x^2-3x=-2x-7 have?

Me find the value of x each figure.

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .