b) lim n-x Prove directly from the definition of limit: 1 /n² + 1 = 0 1 d) lim = + n→∞ N sin n n+1 = 0
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- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?Estimate the limit numerically or state that the limit doesn't exist lim h→0 cos(9/h)use the definition of limits atinfinity to prove the limit. {lim x approaches to infinity ( 2/ square root of x) } = 0