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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
- Evaluate the following limit : lim(x rarr 0) (sqrt(1-x^2)-sqrt(1+x^2...
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- Evaluate the following limit : lim(x rarr 0) (sqrt(a^2+ x^2) -sqrt(a...
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- Evaluate the following limit : lim(h rarr 0) 1/h[1/(x+h)-1/(x)] .
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- Evaluate the following limit : lim(x rarr 2)[1/(x-2)- (2(2x -3))/(x^...
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- Find all possible values of a, if : lim(x rarr a) (x^9-a^9)/(x-a)= l...
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- Find all possible values of a, if : lim(x rarr a) (x^3-a^3)/(x-a)= l...
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- Evaluate underset(zto1)(lim)(z^(1//3)-1)/(z^(1//6)-1)
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- Prove that : lim(x rarr 0) (|x|)/(x) does not exist.
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- Prove that : lim(x rarr 0)(x)/(|x|) does not exist.
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- Prove that : lim(x rarr 0^+)(x)/(|x|)=1 .
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- Prove that : lim(x rarr 0^-)(x)/(|x|)= -1 .
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- If the function f (x) satisfies lim(x rarr 1)(f(x)-2)/(x^2-1)=pi, eval...
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- Find lim(x rarr 0) f(x), and lim(x rarr 1) f(x), where : f(x)= {(2x+3...
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- Find lim(x rarr 0) f(x), where f (x) =|x|-5.
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- Find underset(xrarr0)lim f(x), where f(x)={(|x|/x, xne0),(0, x=0):}
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- Find underset(xrarr0)lim f(x), where f(x)={(|x|/x, xne0),(0, x=0):}
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- Let f(x)= {(|x|+1,",", x<0),(0,",", x=0),(|x|-1,",", x>0.):} For what...
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- If f(x)= {:(mx^(2)+n, x lt 0),(nx +m,0le x le 1),(nx^(3) +m, x gt 1):}...
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- Evaluate the following : lim(x rarr 0)(cos x)/(pi-x) .
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- Evaluate the following : lim(theta rarr 0)(1-cos theta)/(2 theta^2)...
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