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MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 1 (Single Correct Answer)
- If (lim)(x->-a)(x^9+a^9)/(x+a)9,\ find the real value of adot
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- Let f(x)=[x]+[-x], where [x] denotes the greastest integer less than o...
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- Let f(x) be a continuous function defined for 1 <= x <= 3. If f(x) tak...
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- Let f(x)= {{:(|x| cos (1//x)+9x^2, xne 0),(k, x=0):} then f is cont...
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- If f(x)=tan (pi//4 -x)//cot2x for x ne pi//4. The value of f(pi//4) so...
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- Let a function f be defined by f(x)="x-|x|"/x for x ne 0 and f(0)=2. T...
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- If f(x) is a continuous function satisfying f(x)f(1/x) =f(x)+f(1/x) an...
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- The function f(x) = (x-1)^(1/((2-x)) is not defined at x = 2. The valu...
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- Let f(x)=(x+x^2+.....+x^n-n)/(x-1), x!=1, then value of f(1) so that f...
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- If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...
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- Let f(x) and phi(x) be defined by f(x)=[x] and phi(x)={0, x in I and...
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- If a,b are chosen from {1,2,3,4,5,6,7} randomly with replacement. The ...
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- The value of lim(xto pi//2)(cot x-cosx)/(pi-2x)^3 is
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- If underset(x to 0)lim({(a-n)nx - tan x} sin nx)/x^(2) = 0, where n is...
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- Find derivative of tan3x by first principle
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- The value of lim(x to 0) (e^(nx)-(1+nx+n^2/2x^2))/x^3 (n gt 0) is
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- Let f(x)=(e^(x)-1)^(2n)/(sin^n (x//a)(log (1+(x//a)))^n for x ne 0 . I...
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- Let f(x)={{:(x+a,","x lt 0),(|x-1|,","x ge 0):} and g(x)={{:(x+1,", if...
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- If f:RtoR is function defined by f(x) = [x]^3 cos ((2x-1)/2)pi , where...
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- If underset( x to 0) lim [1+x log (1+b^(2))]^(1/x) = 2b sin^(2) the...
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