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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)

(1) Evaluate (by LHospital rule) : ( lim _{x rightarrow 0} frac{cos x-1}{x^{2}} ) (2) Find the derivative of each of t

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 = 3sinx (ii) y = sec (x).csc(x + 1) (3) Evaluate the following integrals: (i) sec (2x + 1) dx (ii) (x +1) 4x dx (4) Find the area under the curve of the function f(x) = x + 1 from x = 1 to x = 3.

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