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Session 1: Differentiation

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This figure consists of two copies of the complex plane, one above the other. The upper copy shows on the positive real axis a sequence of points that approach zero from the right. The origin is labelled zero and marked with a solid blue dot. The point 1 is labelled, and the first three points in the sequence, starting with 1, are marked with solid black dots. An ellipsis to the left of the third point (one third) indicates that the sequence continues indefinitely getting closer to zero. A horizontal arrow above the real axis, between zero and 1, points from right to left. Above it is the label, open bracket, z sub n, close bracket. The lower copy of the complex plane shows on the negative real axis a sequence of points that approach zero from the left. The origin is labelled zero and marked with a solid blue dot. The point negative 1 is labelled, and the first three points in the sequence, starting with negative 1, are marked with solid black dots. An ellipsis to the right of the third point (negative one third) indicates that the sequence continues indefinitely getting closer to zero. A horizontal arrow above the negative real axis, between negative 1 and zero, points from left to right. Above it is the label, open bracket, z prime sub n, close bracket.