(Provide full solutions in the PDF version.)
Q: Evaluate (\lim_x \to 0 \frac1 - \cos 2xx^2) Solution: Using (1 - \cos 2x = 2\sin^2 x), [ \lim_x \to 0 \frac2\sin^2 xx^2 = 2 \times 1^2 = 2. ] (Typical EAMCET level – direct application.) eamcet maths study material pdf
Finding inverses, rank of a matrix, and Cramer's rule. (Provide full solutions in the PDF version