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MODERN PUBLICATION-LIMITS AND DERIVATIVES-CHAPTER TEST 13
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- underset(xrarr0)"lim"(sinax)/(sinbx),a,bne0
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- Evaluate : lim(x to 3)[x(x+1)].
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- Evaluate underset(xto0)lim(sinx^(0))/(x).
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- Find f^(') when f(x)=x^(3).
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- Prove that underset(xrarr0)"lim"((1+x)^(n) - 1)/(x) = n.
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- Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...
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- Differentiate each of the following from first principle: 1/(sqrt(x))
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- If y=1=x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !), show that (dy)/(dx)-...
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- Find (dy)/(dx)" when "y=(x+cosx)/(tanx).
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- Evaluate the following limits: lim(x to(pi)/(6))(2sin^(2)x+sinx-1)/(...
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- Let f(x)={{:(x+k,,,x le -1), (cx^(2),,, x gt -1","):} find 'c', if lim...
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