Answer the following questions cos x-1 (1) Evaluate (by L'Hospital rule): lim x-0 (2) Find the...

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Answer the following questions cos x-1 (1) Evaluate (by L'Hospital rule): lim x-0 (2) Find the derivative of each of the following functions: (i) y = 3sinx² (ii) y = sec³ (√x).csc²(x² + 1) (3) Evaluate the following integrals: (i) sec² (2x + 1) dx (ii) (x³ +1) 4x² dx (4) Find the area under the curve of the function f(x) = x² + 1 from x = 1 to x = 3. Answer the following questions cos x-1 (1) Evaluate (by L'Hospital rule): lim x-0 (2) Find the derivative of each of the following functions: (i) y = 3sinx² (ii) y = sec³ (√x).csc²(x² + 1) (3) Evaluate the following integrals: (i) sec² (2x + 1) dx (ii) (x³ +1) 4x² dx (4) Find the area under the curve of the function f(x) = x² + 1 from x = 1 to x = 3.