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Se myCBSEguide.com, A Complete guide for CBSE students, , CBSE Test Paper 01, CH-13 Limits and Derivatives, , 1. If G(x) = 1/25 — 2? then Lt Serve! has the value, , z—1 z—1, , , , is equal to, , d. 2/3, 3. The function, f(x) = (x — a)? cos + for x # a and f(a) = 0, is, a. continuous but not derivable at x = 0, b. derivable atx=a, c. not continuous at x=a, , d. neither continuous nor derivable at x=a, , 3—V5+2, 4. Lt =, 24 l-yd-z, , a. does not exist, b. 0, , , , sme, 3, 7, i od, , A Ginay7 7 > ™ > O, is equal to, , ~, n, , 0, , 1, , eo ee, , n, , m, , 6. Fill in the blanks:, , The value of given limit lim “*= is, , 20 *™-=, , , , Material downloaded from myCBSEguide.com. 1/6, , Scanned with CamScanner

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Se myCBSEguide.com, A Complete guide for CBSE students, , 7. Fill in the blanks:, The value of limit lim 177 is, r—1, , 2 —62? +1l2—6, , 8. font-family: Verdana font-size: 8px Evaluate lim,_,9 73-0n48, , 9. Find the derivative of x atx =1, , 10. Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q,, r and s are fixed non-zero constants and m and n are integers): € _ 2 + cosz, , 3e, 11. Find the value of lim *—!., z—0, , , , x, , 3, , 12. Find the derivative of 22 — z, , 13. Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q,, , rand s are fixed non-zero constants and m and n are integers): eet _, pz?+qzr+r, a+bz, <1, 14. Suppose f(x) = 4, xz =1 andif lim f(x) = f(1), then what are the possible, a, , b—az, z>1l, values of a and b?, , 15. The differentiation of sec x with respect to x is sec x tan x., , Material downloaded from myCBSEguide.com. 2/6, , Scanned with CamScanner