1. Let if x ...
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1. Let if x <1 ifx =1 3 g(x) = . 2-x2 if 1<r< 2 x-3 ifx>2 Evaluate each of the following, if it exists. [20marks] (i) lim g(x) wmli) lim g(x) (iii) lim g(x) ズ→2 (iv) lim g(x) mulV) lim g(x) x2* x2 2. Find y': y = e * cos ax [20marks]e 3. Find the implicit differentiation: e cos x = 1 + sin(xy) [20marks]e 4. Evaluate the integral [20marks] (xe + e*)dx 5. Evaluate the integral [20marks]e | cos Vi dte COS 1. Let if x <1 ifx =1 3 g(x) = . 2-x2 if 1<r< 2 x-3 ifx>2 Evaluate each of the following, if it exists. [20marks] (i) lim g(x) wmli) lim g(x) (iii) lim g(x) ズ→2 (iv) lim g(x) mulV) lim g(x) x2* x2 2. Find y': y = e * cos ax [20marks]e 3. Find the implicit differentiation: e cos x = 1 + sin(xy) [20marks]e 4. Evaluate the integral [20marks] (xe + e*)dx 5. Evaluate the integral [20marks]e | cos Vi dte COS
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