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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...
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- To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as
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- The function f(x)=|x-2|+x is
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- If the function f(x) = {((sin 3x)/x, x ne 0),(k/x, x = 0):} is continu...
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- Let f(x) = (1 - cos px)/(x sin x), where x ne 0 and f(0) = (1)/(2). If...
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- Let f(x) = [(x^(2),x le 0),(ax + b, x gt 0)]lim The values of a and b ...
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- If the function f(x) ={(ax-b, x le1),(3x, 1lt x lt 2),(bx^(2)-a, x ge ...
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- y = tan^(-1)((3x-x^3)/(1-3x^2)), 1/(sqrt3) , x , 1/(sqrt3).
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- f(x) = {((sin 2x)^(tan^(2)2x), x ne pi/4),(k, x = pi/4):}. If f(x) is ...
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- If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x =...
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- If the function f(x) = [((cos x)^(1//x),x ne 0),(k,x = 0):} is continu...
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- If f(x) ={(3x-4, 0lexle2),(2x+lambda, 2ltxle3):} is continuous at x = ...
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- If f(x) = (2x^(3)-ax+3)/(x-3) is continuous at x = 3, then
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- If [x]^(2)-5[x]+6=0, where [.] denotes the greatest integer function, ...
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- lim(x rarr oo) (log x)/([x]), where [.] denotes the greatest integer f...
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- If f(x) is an odd function and lim(x rarr 0) f(x) exists, then lim(x r...
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- lim(x rarr 0) (sin x)/(x (1 + cos x)) is equal to :
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- lim(x rarr (pi)/(2)) (1-sin x)/(cos x) is equal to :
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- lim(x rarr 0) (|x|)/(x) is equal to :
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- lim(x rarr 1) [x-1], where [*] is the greatest integer function is equ...
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