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lim(xrarr0)(xe^x -sin2x)/x is :...

`lim_(xrarr0)(xe^x -sin2x)/x` is :

A

1

B

2

C

3

D

0

Text Solution

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The correct Answer is:
D
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(i) lim_(xrarr0)(2xe^x -sin2x)/x is zero. (ii) lim_(nrarrinfty)(1^2 +2^2 +…n^2)/(n^3) is 2/6 (iii) lim_(xrarr1)(x^7 -1)/(x-1) =6 (iv) lim_(thetararr0)(sin2theta)/(3theta)=3/2 State which pair of statements given above are correct.

Find lim_(xrarr0)(xe^x -sin2x)/(2x)

lim_(xrarr0)[xe^(2x) +tanx]/x is :

lim_(xto0)(xe^(x)-sinx)/x is

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr0)(a^x -b^x)/x =:

Choose the correct or the most suitable answer from the given four alternatives. lim_(xrarr0) [e^(sinx)-1]/x = :

lim_(x to 0)(xe^(x) - sin x)/(x) is . . . . . .

lim_(x to 0) (xe^x-sinx)/x is......

Evaluate the limit ("lim")_(xrarr0)(sin3x)/x

Evaluate: ("lim")_(xrarr0)(sinx^0)/x

PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-SOLUTION TO EXERCISE 9.6
  1. Choose the correct or the most suitable answer from the given four alt...

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  2. Choose the correct or the most suitable answer from the given four alt...

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  3. Choose the correct or the most suitable answer from the given four alt...

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  4. If f(x)=x(-1)[1/x]xle0, then the value of lim(xto0)f(x) is equal to

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  5. Choose the correct or the most suitable answer from the given four alt...

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  6. Let the function f be defined by f(x)={(3x0lexle1),(-3x+51ltxle2):}, t...

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  7. If f:R rarr R is defined by f(x)= floor(x-3)+|x+4| for xepsilonR,then ...

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  8. lim(xrarr0)(xe^x -sin2x)/x is :

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  9. If lim(xto0)(sinpx)/(tan3x)=4, then the value of p is

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  10. lim(alphato pi/4)(sinalpha-cosalpha)/(alpha-pi/4) is

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  11. Choose the correct or the most suitable answer from the given four alt...

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  12. Choose the correct or the most suitable answer from the given four alt...

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  13. lim(xto0)(e^(tanx)-e^(x))/(tanx-x)=

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  14. The value of lim(xto0)sinx/sqrtx is

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  15. The value of lim(xtok^(-))x-[x], where k is an integer

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  16. At x=3/2 the function f(x)=(|2x-3|)/(2x-3) is

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  17. Let f : RRtoRR be defined by f(x)={{:(x" "x" is irrational"),(1...

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  18. The function f(x)={{:((x^(2)-1)/(x^(3)+1)" "xne1),(P" "x=-1):} is...

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  19. Let f be a continuous function on [2, 5]. If f takes only rational val...

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  20. Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2.T...

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