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This question is from the cssa '01 trial If an atom from group 3 is used as the impurity in a semiconductor, conductivity increases because of an: a) increase in no. of free electrons b) alteration to the metal lattice of the semiconductor. c) increase in no. of +ve holes in crystal...

Can anybody help me with this question: if x>0, n a positive integer>1 and nx<1 show that 1+nx < (1+x)^n < [1 / (1-nx) ] Thanks

Can somebody please help me with this Question its from the Fitzpatrick book btw And here it is: Describe the locus of: IzI^2 - 2iz + 2t(1+i) = 0 where z=x+iy and x,y,t are real numbers. For what values of t can x and y be found so that z satisfies the given eqn? THX MIDDLE

Hi i was hoping somebody could help me with this question, (A) Use the area under the curve: y= 1/(1+u) for u=0 to u=X, to show that X/(X+1) < ln(1+X) < X this first part i can do ok (B) Then use this inequality to show that: (i) lim as (n-->infinity) of {[1 +...